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Finding the Fourth Proportional to 24,734, 34,132.96 and 13,555.76

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Solution

The fourth proportional to 24,734, 34,132.96 and 13,555.76 is: 18,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734 : 34,132.96 = 13,555.76 : x
  2. Step 2: Convert to fraction form
    24,734/34,132.96 = 13,555.76/x
  3. Step 3: Cross multiply
    24,734x = 34,132.96 × 13,555.76
  4. Step 4: Simplify right side
    24,734x = 462,698,213.85
  5. Step 5: Solve for x
    x = 462,698,213.85/24,734
  6. Step 6: Final answer
    x = 18,706.97

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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.