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Finding the Fourth Proportional to 22,347.98, 30,839.20 and 13,400.42

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Solution

The fourth proportional to 22,347.98, 30,839.20 and 13,400.42 is: 18,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.98 : 30,839.20 = 13,400.42 : x
  2. Step 2: Convert to fraction form
    22,347.98/30,839.20 = 13,400.42/x
  3. Step 3: Cross multiply
    22,347.98x = 30,839.20 × 13,400.42
  4. Step 4: Simplify right side
    22,347.98x = 413,258,232.46
  5. Step 5: Solve for x
    x = 413,258,232.46/22,347.98
  6. Step 6: Final answer
    x = 18,491.97

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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.