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Finding the Fourth Proportional to 22,675.34, 34,028.51 and 7,884.24

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Solution

The fourth proportional to 22,675.34, 34,028.51 and 7,884.24 is: 11,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.34 : 34,028.51 = 7,884.24 : x
  2. Step 2: Convert to fraction form
    22,675.34/34,028.51 = 7,884.24/x
  3. Step 3: Cross multiply
    22,675.34x = 34,028.51 × 7,884.24
  4. Step 4: Simplify right side
    22,675.34x = 268,288,772.65
  5. Step 5: Solve for x
    x = 268,288,772.65/22,675.34
  6. Step 6: Final answer
    x = 11,831.74

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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.