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Finding the Fourth Proportional to 27,382.68, 37,789.42 and 15,445.76

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Solution

The fourth proportional to 27,382.68, 37,789.42 and 15,445.76 is: 21,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.68 : 37,789.42 = 15,445.76 : x
  2. Step 2: Convert to fraction form
    27,382.68/37,789.42 = 15,445.76/x
  3. Step 3: Cross multiply
    27,382.68x = 37,789.42 × 15,445.76
  4. Step 4: Simplify right side
    27,382.68x = 583,686,311.86
  5. Step 5: Solve for x
    x = 583,686,311.86/27,382.68
  6. Step 6: Final answer
    x = 21,315.89

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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.