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Finding the Fourth Proportional to 16,010.64, 24,019.07 and 6,149.18

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Solution

The fourth proportional to 16,010.64, 24,019.07 and 6,149.18 is: 9,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.64 : 24,019.07 = 6,149.18 : x
  2. Step 2: Convert to fraction form
    16,010.64/24,019.07 = 6,149.18/x
  3. Step 3: Cross multiply
    16,010.64x = 24,019.07 × 6,149.18
  4. Step 4: Simplify right side
    16,010.64x = 147,697,614.16
  5. Step 5: Solve for x
    x = 147,697,614.16/16,010.64
  6. Step 6: Final answer
    x = 9,224.97

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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.