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Finding the Fourth Proportional to 22,381.26, 30,882.51 and 12,948

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Solution

The fourth proportional to 22,381.26, 30,882.51 and 12,948 is: 17,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.26 : 30,882.51 = 12,948 : x
  2. Step 2: Convert to fraction form
    22,381.26/30,882.51 = 12,948/x
  3. Step 3: Cross multiply
    22,381.26x = 30,882.51 × 12,948
  4. Step 4: Simplify right side
    22,381.26x = 399,866,739.48
  5. Step 5: Solve for x
    x = 399,866,739.48/22,381.26
  6. Step 6: Final answer
    x = 17,866.14

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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.