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Finding the Fourth Proportional to 14,729.16, 22,095.90 and 5,493

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Solution

The fourth proportional to 14,729.16, 22,095.90 and 5,493 is: 8,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729.16 : 22,095.90 = 5,493 : x
  2. Step 2: Convert to fraction form
    14,729.16/22,095.90 = 5,493/x
  3. Step 3: Cross multiply
    14,729.16x = 22,095.90 × 5,493
  4. Step 4: Simplify right side
    14,729.16x = 121,372,778.70
  5. Step 5: Solve for x
    x = 121,372,778.70/14,729.16
  6. Step 6: Final answer
    x = 8,240.31

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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.