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Finding the Fourth Proportional to 27,542.34, 38,006.28 and 15,607.55

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Solution

The fourth proportional to 27,542.34, 38,006.28 and 15,607.55 is: 21,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.34 : 38,006.28 = 15,607.55 : x
  2. Step 2: Convert to fraction form
    27,542.34/38,006.28 = 15,607.55/x
  3. Step 3: Cross multiply
    27,542.34x = 38,006.28 × 15,607.55
  4. Step 4: Simplify right side
    27,542.34x = 593,184,725.38
  5. Step 5: Solve for x
    x = 593,184,725.38/27,542.34
  6. Step 6: Final answer
    x = 21,537.19

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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.