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Finding the Fourth Proportional to 12,870.28, 19,305.42 and 8,282.44

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Solution

The fourth proportional to 12,870.28, 19,305.42 and 8,282.44 is: 12,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.28 : 19,305.42 = 8,282.44 : x
  2. Step 2: Convert to fraction form
    12,870.28/19,305.42 = 8,282.44/x
  3. Step 3: Cross multiply
    12,870.28x = 19,305.42 × 8,282.44
  4. Step 4: Simplify right side
    12,870.28x = 159,895,982.82
  5. Step 5: Solve for x
    x = 159,895,982.82/12,870.28
  6. Step 6: Final answer
    x = 12,423.66

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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.