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Finding the Fourth Proportional to 13,410.94, 20,116.52 and 4,050.98

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Solution

The fourth proportional to 13,410.94, 20,116.52 and 4,050.98 is: 6,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.94 : 20,116.52 = 4,050.98 : x
  2. Step 2: Convert to fraction form
    13,410.94/20,116.52 = 4,050.98/x
  3. Step 3: Cross multiply
    13,410.94x = 20,116.52 × 4,050.98
  4. Step 4: Simplify right side
    13,410.94x = 81,491,620.19
  5. Step 5: Solve for x
    x = 81,491,620.19/13,410.94
  6. Step 6: Final answer
    x = 6,076.50

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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.