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Finding the Fourth Proportional to 21,677.48, 32,512.90 and 6,884.47

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Solution

The fourth proportional to 21,677.48, 32,512.90 and 6,884.47 is: 10,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.48 : 32,512.90 = 6,884.47 : x
  2. Step 2: Convert to fraction form
    21,677.48/32,512.90 = 6,884.47/x
  3. Step 3: Cross multiply
    21,677.48x = 32,512.90 × 6,884.47
  4. Step 4: Simplify right side
    21,677.48x = 223,834,084.66
  5. Step 5: Solve for x
    x = 223,834,084.66/21,677.48
  6. Step 6: Final answer
    x = 10,325.65

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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.