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Finding the Fourth Proportional to 12,073.14, 18,109.17 and 4,281.84

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Solution

The fourth proportional to 12,073.14, 18,109.17 and 4,281.84 is: 6,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.14 : 18,109.17 = 4,281.84 : x
  2. Step 2: Convert to fraction form
    12,073.14/18,109.17 = 4,281.84/x
  3. Step 3: Cross multiply
    12,073.14x = 18,109.17 × 4,281.84
  4. Step 4: Simplify right side
    12,073.14x = 77,540,568.47
  5. Step 5: Solve for x
    x = 77,540,568.47/12,073.14
  6. Step 6: Final answer
    x = 6,422.57

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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.