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Finding the Fourth Proportional to 24,237.97, 36,357.76 and 6,706.33

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Solution

The fourth proportional to 24,237.97, 36,357.76 and 6,706.33 is: 10,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,237.97 : 36,357.76 = 6,706.33 : x
  2. Step 2: Convert to fraction form
    24,237.97/36,357.76 = 6,706.33/x
  3. Step 3: Cross multiply
    24,237.97x = 36,357.76 × 6,706.33
  4. Step 4: Simplify right side
    24,237.97x = 243,826,954.83
  5. Step 5: Solve for x
    x = 243,826,954.83/24,237.97
  6. Step 6: Final answer
    x = 10,059.71

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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.