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Finding the Fourth Proportional to 21,862.28, 30,169.95 and 12,431.42

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Solution

The fourth proportional to 21,862.28, 30,169.95 and 12,431.42 is: 17,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.28 : 30,169.95 = 12,431.42 : x
  2. Step 2: Convert to fraction form
    21,862.28/30,169.95 = 12,431.42/x
  3. Step 3: Cross multiply
    21,862.28x = 30,169.95 × 12,431.42
  4. Step 4: Simplify right side
    21,862.28x = 375,055,319.83
  5. Step 5: Solve for x
    x = 375,055,319.83/21,862.28
  6. Step 6: Final answer
    x = 17,155.36

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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.