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Finding the Fourth Proportional to 12,937.93, 17,844.49 and 9,752.20

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Solution

The fourth proportional to 12,937.93, 17,844.49 and 9,752.20 is: 13,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.93 : 17,844.49 = 9,752.20 : x
  2. Step 2: Convert to fraction form
    12,937.93/17,844.49 = 9,752.20/x
  3. Step 3: Cross multiply
    12,937.93x = 17,844.49 × 9,752.20
  4. Step 4: Simplify right side
    12,937.93x = 174,023,035.38
  5. Step 5: Solve for x
    x = 174,023,035.38/12,937.93
  6. Step 6: Final answer
    x = 13,450.61

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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.