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Finding the Fourth Proportional to 12,820.12, 17,692.38 and 7,231

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Solution

The fourth proportional to 12,820.12, 17,692.38 and 7,231 is: 9,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.12 : 17,692.38 = 7,231 : x
  2. Step 2: Convert to fraction form
    12,820.12/17,692.38 = 7,231/x
  3. Step 3: Cross multiply
    12,820.12x = 17,692.38 × 7,231
  4. Step 4: Simplify right side
    12,820.12x = 127,933,599.78
  5. Step 5: Solve for x
    x = 127,933,599.78/12,820.12
  6. Step 6: Final answer
    x = 9,979.13

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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.