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Finding the Fourth Proportional to 12,432.61, 18,648.30 and 4,640.81

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Solution

The fourth proportional to 12,432.61, 18,648.30 and 4,640.81 is: 6,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.61 : 18,648.30 = 4,640.81 : x
  2. Step 2: Convert to fraction form
    12,432.61/18,648.30 = 4,640.81/x
  3. Step 3: Cross multiply
    12,432.61x = 18,648.30 × 4,640.81
  4. Step 4: Simplify right side
    12,432.61x = 86,543,217.12
  5. Step 5: Solve for x
    x = 86,543,217.12/12,432.61
  6. Step 6: Final answer
    x = 6,960.99

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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.