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Finding the Fourth Proportional to 16,182.74, 24,275.09 and 5,089.79

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Solution

The fourth proportional to 16,182.74, 24,275.09 and 5,089.79 is: 7,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.74 : 24,275.09 = 5,089.79 : x
  2. Step 2: Convert to fraction form
    16,182.74/24,275.09 = 5,089.79/x
  3. Step 3: Cross multiply
    16,182.74x = 24,275.09 × 5,089.79
  4. Step 4: Simplify right side
    16,182.74x = 123,555,047.20
  5. Step 5: Solve for x
    x = 123,555,047.20/16,182.74
  6. Step 6: Final answer
    x = 7,634.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.