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Finding the Fourth Proportional to 16,511.68, 22,787.69 and 9,436.73

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Solution

The fourth proportional to 16,511.68, 22,787.69 and 9,436.73 is: 13,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.68 : 22,787.69 = 9,436.73 : x
  2. Step 2: Convert to fraction form
    16,511.68/22,787.69 = 9,436.73/x
  3. Step 3: Cross multiply
    16,511.68x = 22,787.69 × 9,436.73
  4. Step 4: Simplify right side
    16,511.68x = 215,041,277.85
  5. Step 5: Solve for x
    x = 215,041,277.85/16,511.68
  6. Step 6: Final answer
    x = 13,023.59

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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.