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Finding the Fourth Proportional to 12,264, 18,397.76 and 4,869.24

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Solution

The fourth proportional to 12,264, 18,397.76 and 4,869.24 is: 7,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264 : 18,397.76 = 4,869.24 : x
  2. Step 2: Convert to fraction form
    12,264/18,397.76 = 4,869.24/x
  3. Step 3: Cross multiply
    12,264x = 18,397.76 × 4,869.24
  4. Step 4: Simplify right side
    12,264x = 89,583,108.90
  5. Step 5: Solve for x
    x = 89,583,108.90/12,264
  6. Step 6: Final answer
    x = 7,304.56

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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.