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Finding the Fourth Proportional to 27,252.32, 40,869.84 and 8,780

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Solution

The fourth proportional to 27,252.32, 40,869.84 and 8,780 is: 13,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,252.32 : 40,869.84 = 8,780 : x
  2. Step 2: Convert to fraction form
    27,252.32/40,869.84 = 8,780/x
  3. Step 3: Cross multiply
    27,252.32x = 40,869.84 × 8,780
  4. Step 4: Simplify right side
    27,252.32x = 358,837,195.20
  5. Step 5: Solve for x
    x = 358,837,195.20/27,252.32
  6. Step 6: Final answer
    x = 13,167.22

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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.