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Finding the Fourth Proportional to 22,716.96, 34,065.71 and 7,921.50

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Solution

The fourth proportional to 22,716.96, 34,065.71 and 7,921.50 is: 11,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.96 : 34,065.71 = 7,921.50 : x
  2. Step 2: Convert to fraction form
    22,716.96/34,065.71 = 7,921.50/x
  3. Step 3: Cross multiply
    22,716.96x = 34,065.71 × 7,921.50
  4. Step 4: Simplify right side
    22,716.96x = 269,851,521.77
  5. Step 5: Solve for x
    x = 269,851,521.77/22,716.96
  6. Step 6: Final answer
    x = 11,878.86

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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.