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Finding the Fourth Proportional to 12,952.32, 17,874.12 and 7,363.32

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Solution

The fourth proportional to 12,952.32, 17,874.12 and 7,363.32 is: 10,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.32 : 17,874.12 = 7,363.32 : x
  2. Step 2: Convert to fraction form
    12,952.32/17,874.12 = 7,363.32/x
  3. Step 3: Cross multiply
    12,952.32x = 17,874.12 × 7,363.32
  4. Step 4: Simplify right side
    12,952.32x = 131,612,865.28
  5. Step 5: Solve for x
    x = 131,612,865.28/12,952.32
  6. Step 6: Final answer
    x = 10,161.34

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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.