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Finding the Fourth Proportional to 16,057.70, 24,089.12 and 4,961.78

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Solution

The fourth proportional to 16,057.70, 24,089.12 and 4,961.78 is: 7,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.70 : 24,089.12 = 4,961.78 : x
  2. Step 2: Convert to fraction form
    16,057.70/24,089.12 = 4,961.78/x
  3. Step 3: Cross multiply
    16,057.70x = 24,089.12 × 4,961.78
  4. Step 4: Simplify right side
    16,057.70x = 119,524,913.83
  5. Step 5: Solve for x
    x = 119,524,913.83/16,057.70
  6. Step 6: Final answer
    x = 7,443.46

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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.