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Finding the Fourth Proportional to 27,132.88, 40,684.38 and 8,407.72

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Solution

The fourth proportional to 27,132.88, 40,684.38 and 8,407.72 is: 12,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.88 : 40,684.38 = 8,407.72 : x
  2. Step 2: Convert to fraction form
    27,132.88/40,684.38 = 8,407.72/x
  3. Step 3: Cross multiply
    27,132.88x = 40,684.38 × 8,407.72
  4. Step 4: Simplify right side
    27,132.88x = 342,062,875.41
  5. Step 5: Solve for x
    x = 342,062,875.41/27,132.88
  6. Step 6: Final answer
    x = 12,606.95

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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.