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Finding the Fourth Proportional to 24,675.50, 34,052.19 and 13,497.74

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Solution

The fourth proportional to 24,675.50, 34,052.19 and 13,497.74 is: 18,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.50 : 34,052.19 = 13,497.74 : x
  2. Step 2: Convert to fraction form
    24,675.50/34,052.19 = 13,497.74/x
  3. Step 3: Cross multiply
    24,675.50x = 34,052.19 × 13,497.74
  4. Step 4: Simplify right side
    24,675.50x = 459,627,607.05
  5. Step 5: Solve for x
    x = 459,627,607.05/24,675.50
  6. Step 6: Final answer
    x = 18,626.88

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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.