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Finding the Fourth Proportional to 16,057.96, 24,089.21 and 4,965.61

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Solution

The fourth proportional to 16,057.96, 24,089.21 and 4,965.61 is: 7,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.96 : 24,089.21 = 4,965.61 : x
  2. Step 2: Convert to fraction form
    16,057.96/24,089.21 = 4,965.61/x
  3. Step 3: Cross multiply
    16,057.96x = 24,089.21 × 4,965.61
  4. Step 4: Simplify right side
    16,057.96x = 119,617,622.07
  5. Step 5: Solve for x
    x = 119,617,622.07/16,057.96
  6. Step 6: Final answer
    x = 7,449.12

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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.