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Finding the Fourth Proportional to 29,693.69, 40,977.31 and 16,265.43

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Solution

The fourth proportional to 29,693.69, 40,977.31 and 16,265.43 is: 22,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.69 : 40,977.31 = 16,265.43 : x
  2. Step 2: Convert to fraction form
    29,693.69/40,977.31 = 16,265.43/x
  3. Step 3: Cross multiply
    29,693.69x = 40,977.31 × 16,265.43
  4. Step 4: Simplify right side
    29,693.69x = 666,513,557.62
  5. Step 5: Solve for x
    x = 666,513,557.62/29,693.69
  6. Step 6: Final answer
    x = 22,446.30

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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.