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Finding the Fourth Proportional to 21,986.74, 32,984.21 and 7,191.69

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Solution

The fourth proportional to 21,986.74, 32,984.21 and 7,191.69 is: 10,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.74 : 32,984.21 = 7,191.69 : x
  2. Step 2: Convert to fraction form
    21,986.74/32,984.21 = 7,191.69/x
  3. Step 3: Cross multiply
    21,986.74x = 32,984.21 × 7,191.69
  4. Step 4: Simplify right side
    21,986.74x = 237,212,107.50
  5. Step 5: Solve for x
    x = 237,212,107.50/21,986.74
  6. Step 6: Final answer
    x = 10,788.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.