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Finding the Fourth Proportional to 21,830.34, 32,747.61 and 8,679.78

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Solution

The fourth proportional to 21,830.34, 32,747.61 and 8,679.78 is: 13,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.34 : 32,747.61 = 8,679.78 : x
  2. Step 2: Convert to fraction form
    21,830.34/32,747.61 = 8,679.78/x
  3. Step 3: Cross multiply
    21,830.34x = 32,747.61 × 8,679.78
  4. Step 4: Simplify right side
    21,830.34x = 284,242,050.33
  5. Step 5: Solve for x
    x = 284,242,050.33/21,830.34
  6. Step 6: Final answer
    x = 13,020.50

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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.