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Finding the Fourth Proportional to 16,062.25, 22,170.39 and 9,349.17

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Solution

The fourth proportional to 16,062.25, 22,170.39 and 9,349.17 is: 12,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.25 : 22,170.39 = 9,349.17 : x
  2. Step 2: Convert to fraction form
    16,062.25/22,170.39 = 9,349.17/x
  3. Step 3: Cross multiply
    16,062.25x = 22,170.39 × 9,349.17
  4. Step 4: Simplify right side
    16,062.25x = 207,274,745.08
  5. Step 5: Solve for x
    x = 207,274,745.08/16,062.25
  6. Step 6: Final answer
    x = 12,904.47

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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.