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Finding the Fourth Proportional to 16,227.18, 22,393.52 and 9,511.46

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Solution

The fourth proportional to 16,227.18, 22,393.52 and 9,511.46 is: 13,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.18 : 22,393.52 = 9,511.46 : x
  2. Step 2: Convert to fraction form
    16,227.18/22,393.52 = 9,511.46/x
  3. Step 3: Cross multiply
    16,227.18x = 22,393.52 × 9,511.46
  4. Step 4: Simplify right side
    16,227.18x = 212,995,069.74
  5. Step 5: Solve for x
    x = 212,995,069.74/16,227.18
  6. Step 6: Final answer
    x = 13,125.82

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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.