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Finding the Fourth Proportional to 22,682.04, 34,032.78 and 7,882.87

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Solution

The fourth proportional to 22,682.04, 34,032.78 and 7,882.87 is: 11,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.04 : 34,032.78 = 7,882.87 : x
  2. Step 2: Convert to fraction form
    22,682.04/34,032.78 = 7,882.87/x
  3. Step 3: Cross multiply
    22,682.04x = 34,032.78 × 7,882.87
  4. Step 4: Simplify right side
    22,682.04x = 268,275,980.48
  5. Step 5: Solve for x
    x = 268,275,980.48/22,682.04
  6. Step 6: Final answer
    x = 11,827.68

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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.