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Finding the Fourth Proportional to 16,275.31, 24,412.62 and 5,182.76

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Solution

The fourth proportional to 16,275.31, 24,412.62 and 5,182.76 is: 7,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.31 : 24,412.62 = 5,182.76 : x
  2. Step 2: Convert to fraction form
    16,275.31/24,412.62 = 5,182.76/x
  3. Step 3: Cross multiply
    16,275.31x = 24,412.62 × 5,182.76
  4. Step 4: Simplify right side
    16,275.31x = 126,524,750.43
  5. Step 5: Solve for x
    x = 126,524,750.43/16,275.31
  6. Step 6: Final answer
    x = 7,774.03

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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.