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Finding the Fourth Proportional to 12,188.66, 16,821.33 and 9,691.38

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Solution

The fourth proportional to 12,188.66, 16,821.33 and 9,691.38 is: 13,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.66 : 16,821.33 = 9,691.38 : x
  2. Step 2: Convert to fraction form
    12,188.66/16,821.33 = 9,691.38/x
  3. Step 3: Cross multiply
    12,188.66x = 16,821.33 × 9,691.38
  4. Step 4: Simplify right side
    12,188.66x = 163,021,901.14
  5. Step 5: Solve for x
    x = 163,021,901.14/12,188.66
  6. Step 6: Final answer
    x = 13,374.89

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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.