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Finding the Fourth Proportional to 24,578.35, 33,917.80 and 13,823.22

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Solution

The fourth proportional to 24,578.35, 33,917.80 and 13,823.22 is: 19,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.35 : 33,917.80 = 13,823.22 : x
  2. Step 2: Convert to fraction form
    24,578.35/33,917.80 = 13,823.22/x
  3. Step 3: Cross multiply
    24,578.35x = 33,917.80 × 13,823.22
  4. Step 4: Simplify right side
    24,578.35x = 468,853,211.32
  5. Step 5: Solve for x
    x = 468,853,211.32/24,578.35
  6. Step 6: Final answer
    x = 19,075.86

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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.