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Finding the Fourth Proportional to 12,532.53, 18,806.22 and 4,640.61

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Solution

The fourth proportional to 12,532.53, 18,806.22 and 4,640.61 is: 6,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.53 : 18,806.22 = 4,640.61 : x
  2. Step 2: Convert to fraction form
    12,532.53/18,806.22 = 4,640.61/x
  3. Step 3: Cross multiply
    12,532.53x = 18,806.22 × 4,640.61
  4. Step 4: Simplify right side
    12,532.53x = 87,272,332.59
  5. Step 5: Solve for x
    x = 87,272,332.59/12,532.53
  6. Step 6: Final answer
    x = 6,963.66

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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.