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Finding the Fourth Proportional to 21,236.68, 31,854.48 and 10,151.20

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Solution

The fourth proportional to 21,236.68, 31,854.48 and 10,151.20 is: 15,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,236.68 : 31,854.48 = 10,151.20 : x
  2. Step 2: Convert to fraction form
    21,236.68/31,854.48 = 10,151.20/x
  3. Step 3: Cross multiply
    21,236.68x = 31,854.48 × 10,151.20
  4. Step 4: Simplify right side
    21,236.68x = 323,361,197.38
  5. Step 5: Solve for x
    x = 323,361,197.38/21,236.68
  6. Step 6: Final answer
    x = 15,226.54

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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.