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Finding the Fourth Proportional to 12,283.85, 16,934.53 and 10,387.82

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Solution

The fourth proportional to 12,283.85, 16,934.53 and 10,387.82 is: 14,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.85 : 16,934.53 = 10,387.82 : x
  2. Step 2: Convert to fraction form
    12,283.85/16,934.53 = 10,387.82/x
  3. Step 3: Cross multiply
    12,283.85x = 16,934.53 × 10,387.82
  4. Step 4: Simplify right side
    12,283.85x = 175,912,764.75
  5. Step 5: Solve for x
    x = 175,912,764.75/12,283.85
  6. Step 6: Final answer
    x = 14,320.66

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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.