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Finding the Fourth Proportional to 15,234.68, 22,854.88 and 6,915.28

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Solution

The fourth proportional to 15,234.68, 22,854.88 and 6,915.28 is: 10,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.68 : 22,854.88 = 6,915.28 : x
  2. Step 2: Convert to fraction form
    15,234.68/22,854.88 = 6,915.28/x
  3. Step 3: Cross multiply
    15,234.68x = 22,854.88 × 6,915.28
  4. Step 4: Simplify right side
    15,234.68x = 158,047,996.76
  5. Step 5: Solve for x
    x = 158,047,996.76/15,234.68
  6. Step 6: Final answer
    x = 10,374.22

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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.