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Finding the Fourth Proportional to 12,340.38, 17,029.94 and 7,035.29

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Solution

The fourth proportional to 12,340.38, 17,029.94 and 7,035.29 is: 9,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.38 : 17,029.94 = 7,035.29 : x
  2. Step 2: Convert to fraction form
    12,340.38/17,029.94 = 7,035.29/x
  3. Step 3: Cross multiply
    12,340.38x = 17,029.94 × 7,035.29
  4. Step 4: Simplify right side
    12,340.38x = 119,810,446.26
  5. Step 5: Solve for x
    x = 119,810,446.26/12,340.38
  6. Step 6: Final answer
    x = 9,708.81

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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.