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Finding the Fourth Proportional to 22,024.31, 30,393.83 and 11,952.87

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Solution

The fourth proportional to 22,024.31, 30,393.83 and 11,952.87 is: 16,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.31 : 30,393.83 = 11,952.87 : x
  2. Step 2: Convert to fraction form
    22,024.31/30,393.83 = 11,952.87/x
  3. Step 3: Cross multiply
    22,024.31x = 30,393.83 × 11,952.87
  4. Step 4: Simplify right side
    22,024.31x = 363,293,414.70
  5. Step 5: Solve for x
    x = 363,293,414.70/22,024.31
  6. Step 6: Final answer
    x = 16,495.11

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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.