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Finding the Fourth Proportional to 13,308.38, 18,366.18 and 7,340.12

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Solution

The fourth proportional to 13,308.38, 18,366.18 and 7,340.12 is: 10,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.38 : 18,366.18 = 7,340.12 : x
  2. Step 2: Convert to fraction form
    13,308.38/18,366.18 = 7,340.12/x
  3. Step 3: Cross multiply
    13,308.38x = 18,366.18 × 7,340.12
  4. Step 4: Simplify right side
    13,308.38x = 134,809,965.14
  5. Step 5: Solve for x
    x = 134,809,965.14/13,308.38
  6. Step 6: Final answer
    x = 10,129.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.