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Finding the Fourth Proportional to 12,386.14, 18,578.86 and 3,502.13

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Solution

The fourth proportional to 12,386.14, 18,578.86 and 3,502.13 is: 5,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.14 : 18,578.86 = 3,502.13 : x
  2. Step 2: Convert to fraction form
    12,386.14/18,578.86 = 3,502.13/x
  3. Step 3: Cross multiply
    12,386.14x = 18,578.86 × 3,502.13
  4. Step 4: Simplify right side
    12,386.14x = 65,065,481.32
  5. Step 5: Solve for x
    x = 65,065,481.32/12,386.14
  6. Step 6: Final answer
    x = 5,253.09

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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.