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Finding the Fourth Proportional to 27,593.24, 38,078.84 and 15,018

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Solution

The fourth proportional to 27,593.24, 38,078.84 and 15,018 is: 20,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,593.24 : 38,078.84 = 15,018 : x
  2. Step 2: Convert to fraction form
    27,593.24/38,078.84 = 15,018/x
  3. Step 3: Cross multiply
    27,593.24x = 38,078.84 × 15,018
  4. Step 4: Simplify right side
    27,593.24x = 571,868,019.12
  5. Step 5: Solve for x
    x = 571,868,019.12/27,593.24
  6. Step 6: Final answer
    x = 20,724.93

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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.