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Finding the Fourth Proportional to 29,666.43, 44,506.92 and 13,648.47

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Solution

The fourth proportional to 29,666.43, 44,506.92 and 13,648.47 is: 20,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666.43 : 44,506.92 = 13,648.47 : x
  2. Step 2: Convert to fraction form
    29,666.43/44,506.92 = 13,648.47/x
  3. Step 3: Cross multiply
    29,666.43x = 44,506.92 × 13,648.47
  4. Step 4: Simplify right side
    29,666.43x = 607,451,362.41
  5. Step 5: Solve for x
    x = 607,451,362.41/29,666.43
  6. Step 6: Final answer
    x = 20,476.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.