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Finding the Fourth Proportional to 29,430.84, 40,614.75 and 16,002.24

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Solution

The fourth proportional to 29,430.84, 40,614.75 and 16,002.24 is: 22,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,430.84 : 40,614.75 = 16,002.24 : x
  2. Step 2: Convert to fraction form
    29,430.84/40,614.75 = 16,002.24/x
  3. Step 3: Cross multiply
    29,430.84x = 40,614.75 × 16,002.24
  4. Step 4: Simplify right side
    29,430.84x = 649,926,977.04
  5. Step 5: Solve for x
    x = 649,926,977.04/29,430.84
  6. Step 6: Final answer
    x = 22,083.19

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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.