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Finding the Fourth Proportional to 12,282.76, 16,950.26 and 6,693.76

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Solution

The fourth proportional to 12,282.76, 16,950.26 and 6,693.76 is: 9,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.76 : 16,950.26 = 6,693.76 : x
  2. Step 2: Convert to fraction form
    12,282.76/16,950.26 = 6,693.76/x
  3. Step 3: Cross multiply
    12,282.76x = 16,950.26 × 6,693.76
  4. Step 4: Simplify right side
    12,282.76x = 113,460,972.38
  5. Step 5: Solve for x
    x = 113,460,972.38/12,282.76
  6. Step 6: Final answer
    x = 9,237.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.