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Finding the Fourth Proportional to 12,786.66, 17,648.21 and 7,482.78

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Solution

The fourth proportional to 12,786.66, 17,648.21 and 7,482.78 is: 10,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.66 : 17,648.21 = 7,482.78 : x
  2. Step 2: Convert to fraction form
    12,786.66/17,648.21 = 7,482.78/x
  3. Step 3: Cross multiply
    12,786.66x = 17,648.21 × 7,482.78
  4. Step 4: Simplify right side
    12,786.66x = 132,057,691.53
  5. Step 5: Solve for x
    x = 132,057,691.53/12,786.66
  6. Step 6: Final answer
    x = 10,327.77

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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.