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Finding the Fourth Proportional to 21,654, 32,481.90 and 6,862.59

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Solution

The fourth proportional to 21,654, 32,481.90 and 6,862.59 is: 10,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654 : 32,481.90 = 6,862.59 : x
  2. Step 2: Convert to fraction form
    21,654/32,481.90 = 6,862.59/x
  3. Step 3: Cross multiply
    21,654x = 32,481.90 × 6,862.59
  4. Step 4: Simplify right side
    21,654x = 222,909,962.12
  5. Step 5: Solve for x
    x = 222,909,962.12/21,654
  6. Step 6: Final answer
    x = 10,294.17

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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.