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Finding the Fourth Proportional to 21,774.50, 32,666.46 and 6,781.34

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Solution

The fourth proportional to 21,774.50, 32,666.46 and 6,781.34 is: 10,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.50 : 32,666.46 = 6,781.34 : x
  2. Step 2: Convert to fraction form
    21,774.50/32,666.46 = 6,781.34/x
  3. Step 3: Cross multiply
    21,774.50x = 32,666.46 × 6,781.34
  4. Step 4: Simplify right side
    21,774.50x = 221,522,371.86
  5. Step 5: Solve for x
    x = 221,522,371.86/21,774.50
  6. Step 6: Final answer
    x = 10,173.48

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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.