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Finding the Fourth Proportional to 24,578.84, 33,917.52 and 13,967

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Solution

The fourth proportional to 24,578.84, 33,917.52 and 13,967 is: 19,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.84 : 33,917.52 = 13,967 : x
  2. Step 2: Convert to fraction form
    24,578.84/33,917.52 = 13,967/x
  3. Step 3: Cross multiply
    24,578.84x = 33,917.52 × 13,967
  4. Step 4: Simplify right side
    24,578.84x = 473,726,001.84
  5. Step 5: Solve for x
    x = 473,726,001.84/24,578.84
  6. Step 6: Final answer
    x = 19,273.73

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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.