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Finding the Fourth Proportional to 12,189.84, 18,284.76 and 4,291.92

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Solution

The fourth proportional to 12,189.84, 18,284.76 and 4,291.92 is: 6,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.84 : 18,284.76 = 4,291.92 : x
  2. Step 2: Convert to fraction form
    12,189.84/18,284.76 = 4,291.92/x
  3. Step 3: Cross multiply
    12,189.84x = 18,284.76 × 4,291.92
  4. Step 4: Simplify right side
    12,189.84x = 78,476,727.14
  5. Step 5: Solve for x
    x = 78,476,727.14/12,189.84
  6. Step 6: Final answer
    x = 6,437.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.