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Finding the Fourth Proportional to 12,961.12, 17,872.56 and 8,488.80

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Solution

The fourth proportional to 12,961.12, 17,872.56 and 8,488.80 is: 11,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.12 : 17,872.56 = 8,488.80 : x
  2. Step 2: Convert to fraction form
    12,961.12/17,872.56 = 8,488.80/x
  3. Step 3: Cross multiply
    12,961.12x = 17,872.56 × 8,488.80
  4. Step 4: Simplify right side
    12,961.12x = 151,716,587.33
  5. Step 5: Solve for x
    x = 151,716,587.33/12,961.12
  6. Step 6: Final answer
    x = 11,705.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.