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Finding the Fourth Proportional to 16,109.82, 22,230.84 and 9,737.95

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Solution

The fourth proportional to 16,109.82, 22,230.84 and 9,737.95 is: 13,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.82 : 22,230.84 = 9,737.95 : x
  2. Step 2: Convert to fraction form
    16,109.82/22,230.84 = 9,737.95/x
  3. Step 3: Cross multiply
    16,109.82x = 22,230.84 × 9,737.95
  4. Step 4: Simplify right side
    16,109.82x = 216,482,808.38
  5. Step 5: Solve for x
    x = 216,482,808.38/16,109.82
  6. Step 6: Final answer
    x = 13,437.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.