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Finding the Fourth Proportional to 27,876.14, 38,501.01 and 18,358.56

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Solution

The fourth proportional to 27,876.14, 38,501.01 and 18,358.56 is: 25,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.14 : 38,501.01 = 18,358.56 : x
  2. Step 2: Convert to fraction form
    27,876.14/38,501.01 = 18,358.56/x
  3. Step 3: Cross multiply
    27,876.14x = 38,501.01 × 18,358.56
  4. Step 4: Simplify right side
    27,876.14x = 706,823,102.15
  5. Step 5: Solve for x
    x = 706,823,102.15/27,876.14
  6. Step 6: Final answer
    x = 25,355.85

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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.