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Finding the Fourth Proportional to 24,065.68, 33,214.92 and 13,997.32

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Solution

The fourth proportional to 24,065.68, 33,214.92 and 13,997.32 is: 19,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.68 : 33,214.92 = 13,997.32 : x
  2. Step 2: Convert to fraction form
    24,065.68/33,214.92 = 13,997.32/x
  3. Step 3: Cross multiply
    24,065.68x = 33,214.92 × 13,997.32
  4. Step 4: Simplify right side
    24,065.68x = 464,919,864.01
  5. Step 5: Solve for x
    x = 464,919,864.01/24,065.68
  6. Step 6: Final answer
    x = 19,318.79

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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.