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Finding the Fourth Proportional to 12,874.38, 17,766.45 and 7,209.51

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Solution

The fourth proportional to 12,874.38, 17,766.45 and 7,209.51 is: 9,949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.38 : 17,766.45 = 7,209.51 : x
  2. Step 2: Convert to fraction form
    12,874.38/17,766.45 = 7,209.51/x
  3. Step 3: Cross multiply
    12,874.38x = 17,766.45 × 7,209.51
  4. Step 4: Simplify right side
    12,874.38x = 128,087,398.94
  5. Step 5: Solve for x
    x = 128,087,398.94/12,874.38
  6. Step 6: Final answer
    x = 9,949.01

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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.