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Finding the Fourth Proportional to 16,301.48, 22,496.12 and 9,229.28

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Solution

The fourth proportional to 16,301.48, 22,496.12 and 9,229.28 is: 12,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.48 : 22,496.12 = 9,229.28 : x
  2. Step 2: Convert to fraction form
    16,301.48/22,496.12 = 9,229.28/x
  3. Step 3: Cross multiply
    16,301.48x = 22,496.12 × 9,229.28
  4. Step 4: Simplify right side
    16,301.48x = 207,622,990.39
  5. Step 5: Solve for x
    x = 207,622,990.39/16,301.48
  6. Step 6: Final answer
    x = 12,736.45

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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.