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Finding the Fourth Proportional to 21,722.76, 32,585.96 and 6,933.78

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Solution

The fourth proportional to 21,722.76, 32,585.96 and 6,933.78 is: 10,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.76 : 32,585.96 = 6,933.78 : x
  2. Step 2: Convert to fraction form
    21,722.76/32,585.96 = 6,933.78/x
  3. Step 3: Cross multiply
    21,722.76x = 32,585.96 × 6,933.78
  4. Step 4: Simplify right side
    21,722.76x = 225,943,877.73
  5. Step 5: Solve for x
    x = 225,943,877.73/21,722.76
  6. Step 6: Final answer
    x = 10,401.25

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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.