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Finding the Fourth Proportional to 27,987, 38,618.54 and 18,932.12

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Solution

The fourth proportional to 27,987, 38,618.54 and 18,932.12 is: 26,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987 : 38,618.54 = 18,932.12 : x
  2. Step 2: Convert to fraction form
    27,987/38,618.54 = 18,932.12/x
  3. Step 3: Cross multiply
    27,987x = 38,618.54 × 18,932.12
  4. Step 4: Simplify right side
    27,987x = 731,130,833.50
  5. Step 5: Solve for x
    x = 731,130,833.50/27,987
  6. Step 6: Final answer
    x = 26,123.94

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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.