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Finding the Fourth Proportional to 21,344.40, 32,000.02 and 13,832.09

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Solution

The fourth proportional to 21,344.40, 32,000.02 and 13,832.09 is: 20,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.40 : 32,000.02 = 13,832.09 : x
  2. Step 2: Convert to fraction form
    21,344.40/32,000.02 = 13,832.09/x
  3. Step 3: Cross multiply
    21,344.40x = 32,000.02 × 13,832.09
  4. Step 4: Simplify right side
    21,344.40x = 442,627,269.32
  5. Step 5: Solve for x
    x = 442,627,269.32/21,344.40
  6. Step 6: Final answer
    x = 20,737.40

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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.