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Finding the Fourth Proportional to 24,255.58, 36,397.32 and 10,214.50

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Solution

The fourth proportional to 24,255.58, 36,397.32 and 10,214.50 is: 15,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255.58 : 36,397.32 = 10,214.50 : x
  2. Step 2: Convert to fraction form
    24,255.58/36,397.32 = 10,214.50/x
  3. Step 3: Cross multiply
    24,255.58x = 36,397.32 × 10,214.50
  4. Step 4: Simplify right side
    24,255.58x = 371,780,425.14
  5. Step 5: Solve for x
    x = 371,780,425.14/24,255.58
  6. Step 6: Final answer
    x = 15,327.62

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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.