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Finding the Fourth Proportional to 29,293.22, 40,424.41 and 15,864.16

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Solution

The fourth proportional to 29,293.22, 40,424.41 and 15,864.16 is: 21,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,293.22 : 40,424.41 = 15,864.16 : x
  2. Step 2: Convert to fraction form
    29,293.22/40,424.41 = 15,864.16/x
  3. Step 3: Cross multiply
    29,293.22x = 40,424.41 × 15,864.16
  4. Step 4: Simplify right side
    29,293.22x = 641,299,167.42
  5. Step 5: Solve for x
    x = 641,299,167.42/29,293.22
  6. Step 6: Final answer
    x = 21,892.41

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