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Finding the Fourth Proportional to 22,452.28, 30,983.02 and 12,514.36

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Solution

The fourth proportional to 22,452.28, 30,983.02 and 12,514.36 is: 17,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.28 : 30,983.02 = 12,514.36 : x
  2. Step 2: Convert to fraction form
    22,452.28/30,983.02 = 12,514.36/x
  3. Step 3: Cross multiply
    22,452.28x = 30,983.02 × 12,514.36
  4. Step 4: Simplify right side
    22,452.28x = 387,732,666.17
  5. Step 5: Solve for x
    x = 387,732,666.17/22,452.28
  6. Step 6: Final answer
    x = 17,269.19

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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.