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Finding the Fourth Proportional to 12,532.33, 17,293.87 and 6,865.95

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Solution

The fourth proportional to 12,532.33, 17,293.87 and 6,865.95 is: 9,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.33 : 17,293.87 = 6,865.95 : x
  2. Step 2: Convert to fraction form
    12,532.33/17,293.87 = 6,865.95/x
  3. Step 3: Cross multiply
    12,532.33x = 17,293.87 × 6,865.95
  4. Step 4: Simplify right side
    12,532.33x = 118,738,846.73
  5. Step 5: Solve for x
    x = 118,738,846.73/12,532.33
  6. Step 6: Final answer
    x = 9,474.60

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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.