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Finding the Fourth Proportional to 27,575.28, 38,053.92 and 15,000

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Solution

The fourth proportional to 27,575.28, 38,053.92 and 15,000 is: 20,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.28 : 38,053.92 = 15,000 : x
  2. Step 2: Convert to fraction form
    27,575.28/38,053.92 = 15,000/x
  3. Step 3: Cross multiply
    27,575.28x = 38,053.92 × 15,000
  4. Step 4: Simplify right side
    27,575.28x = 570,808,800
  5. Step 5: Solve for x
    x = 570,808,800/27,575.28
  6. Step 6: Final answer
    x = 20,700.02

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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.