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Finding the Fourth Proportional to 27,581.76, 38,062.08 and 15,006.24

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Solution

The fourth proportional to 27,581.76, 38,062.08 and 15,006.24 is: 20,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581.76 : 38,062.08 = 15,006.24 : x
  2. Step 2: Convert to fraction form
    27,581.76/38,062.08 = 15,006.24/x
  3. Step 3: Cross multiply
    27,581.76x = 38,062.08 × 15,006.24
  4. Step 4: Simplify right side
    27,581.76x = 571,168,707.38
  5. Step 5: Solve for x
    x = 571,168,707.38/27,581.76
  6. Step 6: Final answer
    x = 20,708.20

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Why These Related Problems?

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