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Finding the Fourth Proportional to 22,716.23, 34,079.84 and 7,133.86

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Solution

The fourth proportional to 22,716.23, 34,079.84 and 7,133.86 is: 10,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.23 : 34,079.84 = 7,133.86 : x
  2. Step 2: Convert to fraction form
    22,716.23/34,079.84 = 7,133.86/x
  3. Step 3: Cross multiply
    22,716.23x = 34,079.84 × 7,133.86
  4. Step 4: Simplify right side
    22,716.23x = 243,120,601.31
  5. Step 5: Solve for x
    x = 243,120,601.31/22,716.23
  6. Step 6: Final answer
    x = 10,702.51

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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.