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Finding the Fourth Proportional to 12,497.40, 18,742.68 and 6,169.22

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Solution

The fourth proportional to 12,497.40, 18,742.68 and 6,169.22 is: 9,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.40 : 18,742.68 = 6,169.22 : x
  2. Step 2: Convert to fraction form
    12,497.40/18,742.68 = 6,169.22/x
  3. Step 3: Cross multiply
    12,497.40x = 18,742.68 × 6,169.22
  4. Step 4: Simplify right side
    12,497.40x = 115,627,716.31
  5. Step 5: Solve for x
    x = 115,627,716.31/12,497.40
  6. Step 6: Final answer
    x = 9,252.14

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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.