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Finding the Fourth Proportional to 16,288.48, 24,471.84 and 10,456.48

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Solution

The fourth proportional to 16,288.48, 24,471.84 and 10,456.48 is: 15,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.48 : 24,471.84 = 10,456.48 : x
  2. Step 2: Convert to fraction form
    16,288.48/24,471.84 = 10,456.48/x
  3. Step 3: Cross multiply
    16,288.48x = 24,471.84 × 10,456.48
  4. Step 4: Simplify right side
    16,288.48x = 255,889,305.52
  5. Step 5: Solve for x
    x = 255,889,305.52/16,288.48
  6. Step 6: Final answer
    x = 15,709.83

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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.