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Finding the Fourth Proportional to 27,695.12, 38,251.13 and 20,175.08

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Solution

The fourth proportional to 27,695.12, 38,251.13 and 20,175.08 is: 27,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695.12 : 38,251.13 = 20,175.08 : x
  2. Step 2: Convert to fraction form
    27,695.12/38,251.13 = 20,175.08/x
  3. Step 3: Cross multiply
    27,695.12x = 38,251.13 × 20,175.08
  4. Step 4: Simplify right side
    27,695.12x = 771,719,315.71
  5. Step 5: Solve for x
    x = 771,719,315.71/27,695.12
  6. Step 6: Final answer
    x = 27,864.82

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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.