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Finding the Fourth Proportional to 21,871.86, 32,806.17 and 13,087.14

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Solution

The fourth proportional to 21,871.86, 32,806.17 and 13,087.14 is: 19,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.86 : 32,806.17 = 13,087.14 : x
  2. Step 2: Convert to fraction form
    21,871.86/32,806.17 = 13,087.14/x
  3. Step 3: Cross multiply
    21,871.86x = 32,806.17 × 13,087.14
  4. Step 4: Simplify right side
    21,871.86x = 429,338,939.65
  5. Step 5: Solve for x
    x = 429,338,939.65/21,871.86
  6. Step 6: Final answer
    x = 19,629.74

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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.