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Finding the Fourth Proportional to 29,242.16, 40,354.13 and 15,813.38

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Solution

The fourth proportional to 29,242.16, 40,354.13 and 15,813.38 is: 21,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,242.16 : 40,354.13 = 15,813.38 : x
  2. Step 2: Convert to fraction form
    29,242.16/40,354.13 = 15,813.38/x
  3. Step 3: Cross multiply
    29,242.16x = 40,354.13 × 15,813.38
  4. Step 4: Simplify right side
    29,242.16x = 638,134,911.42
  5. Step 5: Solve for x
    x = 638,134,911.42/29,242.16
  6. Step 6: Final answer
    x = 21,822.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.