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Finding the Fourth Proportional to 21,921.30, 32,874.60 and 7,126.59

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Solution

The fourth proportional to 21,921.30, 32,874.60 and 7,126.59 is: 10,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921.30 : 32,874.60 = 7,126.59 : x
  2. Step 2: Convert to fraction form
    21,921.30/32,874.60 = 7,126.59/x
  3. Step 3: Cross multiply
    21,921.30x = 32,874.60 × 7,126.59
  4. Step 4: Simplify right side
    21,921.30x = 234,283,795.61
  5. Step 5: Solve for x
    x = 234,283,795.61/21,921.30
  6. Step 6: Final answer
    x = 10,687.50

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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.