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Finding the Fourth Proportional to 24,269.25, 33,482.48 and 14,194.47

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Solution

The fourth proportional to 24,269.25, 33,482.48 and 14,194.47 is: 19,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.25 : 33,482.48 = 14,194.47 : x
  2. Step 2: Convert to fraction form
    24,269.25/33,482.48 = 14,194.47/x
  3. Step 3: Cross multiply
    24,269.25x = 33,482.48 × 14,194.47
  4. Step 4: Simplify right side
    24,269.25x = 475,265,986.91
  5. Step 5: Solve for x
    x = 475,265,986.91/24,269.25
  6. Step 6: Final answer
    x = 19,583.05

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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.