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Finding the Fourth Proportional to 12,882.58, 19,310.67 and 5,482.28

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Solution

The fourth proportional to 12,882.58, 19,310.67 and 5,482.28 is: 8,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.58 : 19,310.67 = 5,482.28 : x
  2. Step 2: Convert to fraction form
    12,882.58/19,310.67 = 5,482.28/x
  3. Step 3: Cross multiply
    12,882.58x = 19,310.67 × 5,482.28
  4. Step 4: Simplify right side
    12,882.58x = 105,866,548.20
  5. Step 5: Solve for x
    x = 105,866,548.20/12,882.58
  6. Step 6: Final answer
    x = 8,217.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.