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Finding the Fourth Proportional to 16,511.27, 22,780.17 and 9,340.50

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Solution

The fourth proportional to 16,511.27, 22,780.17 and 9,340.50 is: 12,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.27 : 22,780.17 = 9,340.50 : x
  2. Step 2: Convert to fraction form
    16,511.27/22,780.17 = 9,340.50/x
  3. Step 3: Cross multiply
    16,511.27x = 22,780.17 × 9,340.50
  4. Step 4: Simplify right side
    16,511.27x = 212,778,063.98
  5. Step 5: Solve for x
    x = 212,778,063.98/16,511.27
  6. Step 6: Final answer
    x = 12,886.84

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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.