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Finding the Fourth Proportional to 27,665.96, 38,134.40 and 18,710.20

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Solution

The fourth proportional to 27,665.96, 38,134.40 and 18,710.20 is: 25,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.96 : 38,134.40 = 18,710.20 : x
  2. Step 2: Convert to fraction form
    27,665.96/38,134.40 = 18,710.20/x
  3. Step 3: Cross multiply
    27,665.96x = 38,134.40 × 18,710.20
  4. Step 4: Simplify right side
    27,665.96x = 713,502,250.88
  5. Step 5: Solve for x
    x = 713,502,250.88/27,665.96
  6. Step 6: Final answer
    x = 25,789.90

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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.