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Finding the Fourth Proportional to 12,338.38, 17,025.65 and 7,302.81

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Solution

The fourth proportional to 12,338.38, 17,025.65 and 7,302.81 is: 10,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.38 : 17,025.65 = 7,302.81 : x
  2. Step 2: Convert to fraction form
    12,338.38/17,025.65 = 7,302.81/x
  3. Step 3: Cross multiply
    12,338.38x = 17,025.65 × 7,302.81
  4. Step 4: Simplify right side
    12,338.38x = 124,335,050.56
  5. Step 5: Solve for x
    x = 124,335,050.56/12,338.38
  6. Step 6: Final answer
    x = 10,077.10

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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.