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Finding the Fourth Proportional to 12,264.16, 18,385.14 and 4,471.15

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Solution

The fourth proportional to 12,264.16, 18,385.14 and 4,471.15 is: 6,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.16 : 18,385.14 = 4,471.15 : x
  2. Step 2: Convert to fraction form
    12,264.16/18,385.14 = 4,471.15/x
  3. Step 3: Cross multiply
    12,264.16x = 18,385.14 × 4,471.15
  4. Step 4: Simplify right side
    12,264.16x = 82,202,718.71
  5. Step 5: Solve for x
    x = 82,202,718.71/12,264.16
  6. Step 6: Final answer
    x = 6,702.68

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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.