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Finding the Fourth Proportional to 21,707.62, 32,562.68 and 8,380.68

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Solution

The fourth proportional to 21,707.62, 32,562.68 and 8,380.68 is: 12,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.62 : 32,562.68 = 8,380.68 : x
  2. Step 2: Convert to fraction form
    21,707.62/32,562.68 = 8,380.68/x
  3. Step 3: Cross multiply
    21,707.62x = 32,562.68 × 8,380.68
  4. Step 4: Simplify right side
    21,707.62x = 272,897,401.02
  5. Step 5: Solve for x
    x = 272,897,401.02/21,707.62
  6. Step 6: Final answer
    x = 12,571.50

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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.