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Finding the Fourth Proportional to 16,149.07, 22,306.39 and 12,349.16

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Solution

The fourth proportional to 16,149.07, 22,306.39 and 12,349.16 is: 17,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.07 : 22,306.39 = 12,349.16 : x
  2. Step 2: Convert to fraction form
    16,149.07/22,306.39 = 12,349.16/x
  3. Step 3: Cross multiply
    16,149.07x = 22,306.39 × 12,349.16
  4. Step 4: Simplify right side
    16,149.07x = 275,465,117.39
  5. Step 5: Solve for x
    x = 275,465,117.39/16,149.07
  6. Step 6: Final answer
    x = 17,057.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.