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Finding the Fourth Proportional to 23,282.68, 32,092.80 and 15,726.64

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Solution

The fourth proportional to 23,282.68, 32,092.80 and 15,726.64 is: 21,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,282.68 : 32,092.80 = 15,726.64 : x
  2. Step 2: Convert to fraction form
    23,282.68/32,092.80 = 15,726.64/x
  3. Step 3: Cross multiply
    23,282.68x = 32,092.80 × 15,726.64
  4. Step 4: Simplify right side
    23,282.68x = 504,711,912.19
  5. Step 5: Solve for x
    x = 504,711,912.19/23,282.68
  6. Step 6: Final answer
    x = 21,677.57

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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.