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Finding the Fourth Proportional to 27,624.70, 38,120.76 and 15,686.46

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Solution

The fourth proportional to 27,624.70, 38,120.76 and 15,686.46 is: 21,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.70 : 38,120.76 = 15,686.46 : x
  2. Step 2: Convert to fraction form
    27,624.70/38,120.76 = 15,686.46/x
  3. Step 3: Cross multiply
    27,624.70x = 38,120.76 × 15,686.46
  4. Step 4: Simplify right side
    27,624.70x = 597,979,776.91
  5. Step 5: Solve for x
    x = 597,979,776.91/27,624.70
  6. Step 6: Final answer
    x = 21,646.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.