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Finding the Fourth Proportional to 23,944.78, 33,041.68 and 13,870

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Solution

The fourth proportional to 23,944.78, 33,041.68 and 13,870 is: 19,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,944.78 : 33,041.68 = 13,870 : x
  2. Step 2: Convert to fraction form
    23,944.78/33,041.68 = 13,870/x
  3. Step 3: Cross multiply
    23,944.78x = 33,041.68 × 13,870
  4. Step 4: Simplify right side
    23,944.78x = 458,288,101.60
  5. Step 5: Solve for x
    x = 458,288,101.60/23,944.78
  6. Step 6: Final answer
    x = 19,139.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.