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Finding the Fourth Proportional to 12,411.72, 18,617.76 and 3,646.80

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Solution

The fourth proportional to 12,411.72, 18,617.76 and 3,646.80 is: 5,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.72 : 18,617.76 = 3,646.80 : x
  2. Step 2: Convert to fraction form
    12,411.72/18,617.76 = 3,646.80/x
  3. Step 3: Cross multiply
    12,411.72x = 18,617.76 × 3,646.80
  4. Step 4: Simplify right side
    12,411.72x = 67,895,247.17
  5. Step 5: Solve for x
    x = 67,895,247.17/12,411.72
  6. Step 6: Final answer
    x = 5,470.25

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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.