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Finding the Fourth Proportional to 27,598.28, 38,086.32 and 15,023

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Solution

The fourth proportional to 27,598.28, 38,086.32 and 15,023 is: 20,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.28 : 38,086.32 = 15,023 : x
  2. Step 2: Convert to fraction form
    27,598.28/38,086.32 = 15,023/x
  3. Step 3: Cross multiply
    27,598.28x = 38,086.32 × 15,023
  4. Step 4: Simplify right side
    27,598.28x = 572,170,785.36
  5. Step 5: Solve for x
    x = 572,170,785.36/27,598.28
  6. Step 6: Final answer
    x = 20,732.12

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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.