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Finding the Fourth Proportional to 24,560.84, 33,892.68 and 13,949

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Solution

The fourth proportional to 24,560.84, 33,892.68 and 13,949 is: 19,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,560.84 : 33,892.68 = 13,949 : x
  2. Step 2: Convert to fraction form
    24,560.84/33,892.68 = 13,949/x
  3. Step 3: Cross multiply
    24,560.84x = 33,892.68 × 13,949
  4. Step 4: Simplify right side
    24,560.84x = 472,768,993.32
  5. Step 5: Solve for x
    x = 472,768,993.32/24,560.84
  6. Step 6: Final answer
    x = 19,248.89

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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.