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Finding the Fourth Proportional to 21,355.11, 32,010.38 and 7,311

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Solution

The fourth proportional to 21,355.11, 32,010.38 and 7,311 is: 10,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,355.11 : 32,010.38 = 7,311 : x
  2. Step 2: Convert to fraction form
    21,355.11/32,010.38 = 7,311/x
  3. Step 3: Cross multiply
    21,355.11x = 32,010.38 × 7,311
  4. Step 4: Simplify right side
    21,355.11x = 234,027,851.63
  5. Step 5: Solve for x
    x = 234,027,851.63/21,355.11
  6. Step 6: Final answer
    x = 10,958.87

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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.