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Finding the Fourth Proportional to 16,225, 22,391.28 and 9,151.26

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Solution

The fourth proportional to 16,225, 22,391.28 and 9,151.26 is: 12,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225 : 22,391.28 = 9,151.26 : x
  2. Step 2: Convert to fraction form
    16,225/22,391.28 = 9,151.26/x
  3. Step 3: Cross multiply
    16,225x = 22,391.28 × 9,151.26
  4. Step 4: Simplify right side
    16,225x = 204,908,425.01
  5. Step 5: Solve for x
    x = 204,908,425.01/16,225
  6. Step 6: Final answer
    x = 12,629.18

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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.