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Finding the Fourth Proportional to 12,886.38, 17,781.30 and 7,219.98

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Solution

The fourth proportional to 12,886.38, 17,781.30 and 7,219.98 is: 9,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.38 : 17,781.30 = 7,219.98 : x
  2. Step 2: Convert to fraction form
    12,886.38/17,781.30 = 7,219.98/x
  3. Step 3: Cross multiply
    12,886.38x = 17,781.30 × 7,219.98
  4. Step 4: Simplify right side
    12,886.38x = 128,380,630.37
  5. Step 5: Solve for x
    x = 128,380,630.37/12,886.38
  6. Step 6: Final answer
    x = 9,962.51

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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.