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Finding the Fourth Proportional to 22,646.40, 33,944.40 and 10,644.48

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Solution

The fourth proportional to 22,646.40, 33,944.40 and 10,644.48 is: 15,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.40 : 33,944.40 = 10,644.48 : x
  2. Step 2: Convert to fraction form
    22,646.40/33,944.40 = 10,644.48/x
  3. Step 3: Cross multiply
    22,646.40x = 33,944.40 × 10,644.48
  4. Step 4: Simplify right side
    22,646.40x = 361,320,486.91
  5. Step 5: Solve for x
    x = 361,320,486.91/22,646.40
  6. Step 6: Final answer
    x = 15,954.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.