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Finding the Fourth Proportional to 21,773.72, 32,660.76 and 6,982.66

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Solution

The fourth proportional to 21,773.72, 32,660.76 and 6,982.66 is: 10,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.72 : 32,660.76 = 6,982.66 : x
  2. Step 2: Convert to fraction form
    21,773.72/32,660.76 = 6,982.66/x
  3. Step 3: Cross multiply
    21,773.72x = 32,660.76 × 6,982.66
  4. Step 4: Simplify right side
    21,773.72x = 228,058,982.42
  5. Step 5: Solve for x
    x = 228,058,982.42/21,773.72
  6. Step 6: Final answer
    x = 10,474.05

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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.