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Finding the Fourth Proportional to 21,385.05, 32,084.70 and 13,478.44

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Solution

The fourth proportional to 21,385.05, 32,084.70 and 13,478.44 is: 20,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.05 : 32,084.70 = 13,478.44 : x
  2. Step 2: Convert to fraction form
    21,385.05/32,084.70 = 13,478.44/x
  3. Step 3: Cross multiply
    21,385.05x = 32,084.70 × 13,478.44
  4. Step 4: Simplify right side
    21,385.05x = 432,451,636.48
  5. Step 5: Solve for x
    x = 432,451,636.48/21,385.05
  6. Step 6: Final answer
    x = 20,222.15

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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.