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Finding the Fourth Proportional to 21,919.14, 32,878.71 and 20,344.50

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Solution

The fourth proportional to 21,919.14, 32,878.71 and 20,344.50 is: 30,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.14 : 32,878.71 = 20,344.50 : x
  2. Step 2: Convert to fraction form
    21,919.14/32,878.71 = 20,344.50/x
  3. Step 3: Cross multiply
    21,919.14x = 32,878.71 × 20,344.50
  4. Step 4: Simplify right side
    21,919.14x = 668,900,915.60
  5. Step 5: Solve for x
    x = 668,900,915.60/21,919.14
  6. Step 6: Final answer
    x = 30,516.75

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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.