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Finding the Fourth Proportional to 16,180.92, 24,267.72 and 6,315.12

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Solution

The fourth proportional to 16,180.92, 24,267.72 and 6,315.12 is: 9,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.92 : 24,267.72 = 6,315.12 : x
  2. Step 2: Convert to fraction form
    16,180.92/24,267.72 = 6,315.12/x
  3. Step 3: Cross multiply
    16,180.92x = 24,267.72 × 6,315.12
  4. Step 4: Simplify right side
    16,180.92x = 153,253,563.93
  5. Step 5: Solve for x
    x = 153,253,563.93/16,180.92
  6. Step 6: Final answer
    x = 9,471.25

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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.