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Finding the Fourth Proportional to 27,598.50, 38,086.02 and 15,023.34

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Solution

The fourth proportional to 27,598.50, 38,086.02 and 15,023.34 is: 20,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.50 : 38,086.02 = 15,023.34 : x
  2. Step 2: Convert to fraction form
    27,598.50/38,086.02 = 15,023.34/x
  3. Step 3: Cross multiply
    27,598.50x = 38,086.02 × 15,023.34
  4. Step 4: Simplify right side
    27,598.50x = 572,179,227.71
  5. Step 5: Solve for x
    x = 572,179,227.71/27,598.50
  6. Step 6: Final answer
    x = 20,732.26

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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.