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Finding the Fourth Proportional to 13,883,951.60, 20,825,927.40 and 6,709,498.10

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Solution

The fourth proportional to 13,883,951.60, 20,825,927.40 and 6,709,498.10 is: 10,064,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883,951.60 : 20,825,927.40 = 6,709,498.10 : x
  2. Step 2: Convert to fraction form
    13,883,951.60/20,825,927.40 = 6,709,498.10/x
  3. Step 3: Cross multiply
    13,883,951.60x = 20,825,927.40 × 6,709,498.10
  4. Step 4: Simplify right side
    13,883,951.60x = 139,731,520,321,037.92
  5. Step 5: Solve for x
    x = 139,731,520,321,037.92/13,883,951.60
  6. Step 6: Final answer
    x = 10,064,247.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.