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Finding the Fourth Proportional to 27,248.32, 40,863.84 and 8,776

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Solution

The fourth proportional to 27,248.32, 40,863.84 and 8,776 is: 13,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248.32 : 40,863.84 = 8,776 : x
  2. Step 2: Convert to fraction form
    27,248.32/40,863.84 = 8,776/x
  3. Step 3: Cross multiply
    27,248.32x = 40,863.84 × 8,776
  4. Step 4: Simplify right side
    27,248.32x = 358,621,059.84
  5. Step 5: Solve for x
    x = 358,621,059.84/27,248.32
  6. Step 6: Final answer
    x = 13,161.22

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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.