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Finding the Fourth Proportional to 27,591.96, 38,077.14 and 15,655.32

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Solution

The fourth proportional to 27,591.96, 38,077.14 and 15,655.32 is: 21,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591.96 : 38,077.14 = 15,655.32 : x
  2. Step 2: Convert to fraction form
    27,591.96/38,077.14 = 15,655.32/x
  3. Step 3: Cross multiply
    27,591.96x = 38,077.14 × 15,655.32
  4. Step 4: Simplify right side
    27,591.96x = 596,109,811.38
  5. Step 5: Solve for x
    x = 596,109,811.38/27,591.96
  6. Step 6: Final answer
    x = 21,604.48

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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.