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Finding the Fourth Proportional to 21,232.67, 31,860.05 and 11,866.91

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Solution

The fourth proportional to 21,232.67, 31,860.05 and 11,866.91 is: 17,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.67 : 31,860.05 = 11,866.91 : x
  2. Step 2: Convert to fraction form
    21,232.67/31,860.05 = 11,866.91/x
  3. Step 3: Cross multiply
    21,232.67x = 31,860.05 × 11,866.91
  4. Step 4: Simplify right side
    21,232.67x = 378,080,345.95
  5. Step 5: Solve for x
    x = 378,080,345.95/21,232.67
  6. Step 6: Final answer
    x = 17,806.54

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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.