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Finding the Fourth Proportional to 22,656.28, 33,990.40 and 7,865.16

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Solution

The fourth proportional to 22,656.28, 33,990.40 and 7,865.16 is: 11,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.28 : 33,990.40 = 7,865.16 : x
  2. Step 2: Convert to fraction form
    22,656.28/33,990.40 = 7,865.16/x
  3. Step 3: Cross multiply
    22,656.28x = 33,990.40 × 7,865.16
  4. Step 4: Simplify right side
    22,656.28x = 267,339,934.46
  5. Step 5: Solve for x
    x = 267,339,934.46/22,656.28
  6. Step 6: Final answer
    x = 11,799.82

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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.