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Finding the Fourth Proportional to 27,593, 38,078.34 and 15,017.84

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Solution

The fourth proportional to 27,593, 38,078.34 and 15,017.84 is: 20,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,593 : 38,078.34 = 15,017.84 : x
  2. Step 2: Convert to fraction form
    27,593/38,078.34 = 15,017.84/x
  3. Step 3: Cross multiply
    27,593x = 38,078.34 × 15,017.84
  4. Step 4: Simplify right side
    27,593x = 571,854,417.59
  5. Step 5: Solve for x
    x = 571,854,417.59/27,593
  6. Step 6: Final answer
    x = 20,724.62

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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.