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Finding the Fourth Proportional to 27,581.76, 38,064.64 and 15,640.96

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Solution

The fourth proportional to 27,581.76, 38,064.64 and 15,640.96 is: 21,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581.76 : 38,064.64 = 15,640.96 : x
  2. Step 2: Convert to fraction form
    27,581.76/38,064.64 = 15,640.96/x
  3. Step 3: Cross multiply
    27,581.76x = 38,064.64 × 15,640.96
  4. Step 4: Simplify right side
    27,581.76x = 595,367,511.65
  5. Step 5: Solve for x
    x = 595,367,511.65/27,581.76
  6. Step 6: Final answer
    x = 21,585.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.