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Finding the Fourth Proportional to 12,225.11, 16,874.33 and 7,189.61

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Solution

The fourth proportional to 12,225.11, 16,874.33 and 7,189.61 is: 9,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.11 : 16,874.33 = 7,189.61 : x
  2. Step 2: Convert to fraction form
    12,225.11/16,874.33 = 7,189.61/x
  3. Step 3: Cross multiply
    12,225.11x = 16,874.33 × 7,189.61
  4. Step 4: Simplify right side
    12,225.11x = 121,319,731.39
  5. Step 5: Solve for x
    x = 121,319,731.39/12,225.11
  6. Step 6: Final answer
    x = 9,923.82

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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.