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Finding the Fourth Proportional to 27,574.20, 38,059.16 and 15,644.52

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Solution

The fourth proportional to 27,574.20, 38,059.16 and 15,644.52 is: 21,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.20 : 38,059.16 = 15,644.52 : x
  2. Step 2: Convert to fraction form
    27,574.20/38,059.16 = 15,644.52/x
  3. Step 3: Cross multiply
    27,574.20x = 38,059.16 × 15,644.52
  4. Step 4: Simplify right side
    27,574.20x = 595,417,471.64
  5. Step 5: Solve for x
    x = 595,417,471.64/27,574.20
  6. Step 6: Final answer
    x = 21,593.28

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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.