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Finding the Fourth Proportional to 21,431.76, 32,146.05 and 7,200.33

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Solution

The fourth proportional to 21,431.76, 32,146.05 and 7,200.33 is: 10,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.76 : 32,146.05 = 7,200.33 : x
  2. Step 2: Convert to fraction form
    21,431.76/32,146.05 = 7,200.33/x
  3. Step 3: Cross multiply
    21,431.76x = 32,146.05 × 7,200.33
  4. Step 4: Simplify right side
    21,431.76x = 231,462,168.20
  5. Step 5: Solve for x
    x = 231,462,168.20/21,431.76
  6. Step 6: Final answer
    x = 10,799.96

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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.