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Finding the Fourth Proportional to 21,920, 32,884.32 and 7,129.28

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Solution

The fourth proportional to 21,920, 32,884.32 and 7,129.28 is: 10,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920 : 32,884.32 = 7,129.28 : x
  2. Step 2: Convert to fraction form
    21,920/32,884.32 = 7,129.28/x
  3. Step 3: Cross multiply
    21,920x = 32,884.32 × 7,129.28
  4. Step 4: Simplify right side
    21,920x = 234,441,524.89
  5. Step 5: Solve for x
    x = 234,441,524.89/21,920
  6. Step 6: Final answer
    x = 10,695.33

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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.