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Finding the Fourth Proportional to 24,451.34, 33,757.17 and 17,730.50

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Solution

The fourth proportional to 24,451.34, 33,757.17 and 17,730.50 is: 24,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.34 : 33,757.17 = 17,730.50 : x
  2. Step 2: Convert to fraction form
    24,451.34/33,757.17 = 17,730.50/x
  3. Step 3: Cross multiply
    24,451.34x = 33,757.17 × 17,730.50
  4. Step 4: Simplify right side
    24,451.34x = 598,531,502.69
  5. Step 5: Solve for x
    x = 598,531,502.69/24,451.34
  6. Step 6: Final answer
    x = 24,478.47

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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.