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Finding the Fourth Proportional to 16,122.60, 22,249.80 and 9,407.16

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Solution

The fourth proportional to 16,122.60, 22,249.80 and 9,407.16 is: 12,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.60 : 22,249.80 = 9,407.16 : x
  2. Step 2: Convert to fraction form
    16,122.60/22,249.80 = 9,407.16/x
  3. Step 3: Cross multiply
    16,122.60x = 22,249.80 × 9,407.16
  4. Step 4: Simplify right side
    16,122.60x = 209,307,428.57
  5. Step 5: Solve for x
    x = 209,307,428.57/16,122.60
  6. Step 6: Final answer
    x = 12,982.24

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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.