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Finding the Fourth Proportional to 27,598.56, 38,086.14 and 15,023.32

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Solution

The fourth proportional to 27,598.56, 38,086.14 and 15,023.32 is: 20,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.56 : 38,086.14 = 15,023.32 : x
  2. Step 2: Convert to fraction form
    27,598.56/38,086.14 = 15,023.32/x
  3. Step 3: Cross multiply
    27,598.56x = 38,086.14 × 15,023.32
  4. Step 4: Simplify right side
    27,598.56x = 572,180,268.78
  5. Step 5: Solve for x
    x = 572,180,268.78/27,598.56
  6. Step 6: Final answer
    x = 20,732.25

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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.