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Finding the Fourth Proportional to 16,050.96, 24,050.52 and 9,882

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Solution

The fourth proportional to 16,050.96, 24,050.52 and 9,882 is: 14,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,050.96 : 24,050.52 = 9,882 : x
  2. Step 2: Convert to fraction form
    16,050.96/24,050.52 = 9,882/x
  3. Step 3: Cross multiply
    16,050.96x = 24,050.52 × 9,882
  4. Step 4: Simplify right side
    16,050.96x = 237,667,238.64
  5. Step 5: Solve for x
    x = 237,667,238.64/16,050.96
  6. Step 6: Final answer
    x = 14,807.04

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Why These Related Problems?

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