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Finding the Fourth Proportional to 12,882.60, 19,319.10 and 8,975.40

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Solution

The fourth proportional to 12,882.60, 19,319.10 and 8,975.40 is: 13,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.60 : 19,319.10 = 8,975.40 : x
  2. Step 2: Convert to fraction form
    12,882.60/19,319.10 = 8,975.40/x
  3. Step 3: Cross multiply
    12,882.60x = 19,319.10 × 8,975.40
  4. Step 4: Simplify right side
    12,882.60x = 173,396,650.14
  5. Step 5: Solve for x
    x = 173,396,650.14/12,882.60
  6. Step 6: Final answer
    x = 13,459.76

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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.