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Finding the Fourth Proportional to 12,282.80, 16,948.76 and 8,312.56

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Solution

The fourth proportional to 12,282.80, 16,948.76 and 8,312.56 is: 11,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.80 : 16,948.76 = 8,312.56 : x
  2. Step 2: Convert to fraction form
    12,282.80/16,948.76 = 8,312.56/x
  3. Step 3: Cross multiply
    12,282.80x = 16,948.76 × 8,312.56
  4. Step 4: Simplify right side
    12,282.80x = 140,887,584.43
  5. Step 5: Solve for x
    x = 140,887,584.43/12,282.80
  6. Step 6: Final answer
    x = 11,470.31

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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.