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Finding the Fourth Proportional to 21,989.50, 32,863.52 and 16,078.83

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Solution

The fourth proportional to 21,989.50, 32,863.52 and 16,078.83 is: 24,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.50 : 32,863.52 = 16,078.83 : x
  2. Step 2: Convert to fraction form
    21,989.50/32,863.52 = 16,078.83/x
  3. Step 3: Cross multiply
    21,989.50x = 32,863.52 × 16,078.83
  4. Step 4: Simplify right side
    21,989.50x = 528,406,951.28
  5. Step 5: Solve for x
    x = 528,406,951.28/21,989.50
  6. Step 6: Final answer
    x = 24,029.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.