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Finding the Fourth Proportional to 23,282.65, 34,921.09 and 6,644.14

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Solution

The fourth proportional to 23,282.65, 34,921.09 and 6,644.14 is: 9,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,282.65 : 34,921.09 = 6,644.14 : x
  2. Step 2: Convert to fraction form
    23,282.65/34,921.09 = 6,644.14/x
  3. Step 3: Cross multiply
    23,282.65x = 34,921.09 × 6,644.14
  4. Step 4: Simplify right side
    23,282.65x = 232,020,531.92
  5. Step 5: Solve for x
    x = 232,020,531.92/23,282.65
  6. Step 6: Final answer
    x = 9,965.38

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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.