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Finding the Fourth Proportional to 16,221.10, 24,283.05 and 9,643.90

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Solution

The fourth proportional to 16,221.10, 24,283.05 and 9,643.90 is: 14,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.10 : 24,283.05 = 9,643.90 : x
  2. Step 2: Convert to fraction form
    16,221.10/24,283.05 = 9,643.90/x
  3. Step 3: Cross multiply
    16,221.10x = 24,283.05 × 9,643.90
  4. Step 4: Simplify right side
    16,221.10x = 234,183,305.90
  5. Step 5: Solve for x
    x = 234,183,305.90/16,221.10
  6. Step 6: Final answer
    x = 14,436.96

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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.