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Finding the Fourth Proportional to 16,057.61, 24,080.42 and 5,524.68

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Solution

The fourth proportional to 16,057.61, 24,080.42 and 5,524.68 is: 8,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.61 : 24,080.42 = 5,524.68 : x
  2. Step 2: Convert to fraction form
    16,057.61/24,080.42 = 5,524.68/x
  3. Step 3: Cross multiply
    16,057.61x = 24,080.42 × 5,524.68
  4. Step 4: Simplify right side
    16,057.61x = 133,036,628.58
  5. Step 5: Solve for x
    x = 133,036,628.58/16,057.61
  6. Step 6: Final answer
    x = 8,284.96

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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.