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Finding the Fourth Proportional to 27,937.68, 38,572.20 and 17,342.88

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Solution

The fourth proportional to 27,937.68, 38,572.20 and 17,342.88 is: 23,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.68 : 38,572.20 = 17,342.88 : x
  2. Step 2: Convert to fraction form
    27,937.68/38,572.20 = 17,342.88/x
  3. Step 3: Cross multiply
    27,937.68x = 38,572.20 × 17,342.88
  4. Step 4: Simplify right side
    27,937.68x = 668,953,035.94
  5. Step 5: Solve for x
    x = 668,953,035.94/27,937.68
  6. Step 6: Final answer
    x = 23,944.47

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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.