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Finding the Fourth Proportional to 15,853.39, 23,781.11 and 5,322.98

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Solution

The fourth proportional to 15,853.39, 23,781.11 and 5,322.98 is: 7,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.39 : 23,781.11 = 5,322.98 : x
  2. Step 2: Convert to fraction form
    15,853.39/23,781.11 = 5,322.98/x
  3. Step 3: Cross multiply
    15,853.39x = 23,781.11 × 5,322.98
  4. Step 4: Simplify right side
    15,853.39x = 126,586,419.05
  5. Step 5: Solve for x
    x = 126,586,419.05/15,853.39
  6. Step 6: Final answer
    x = 7,984.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.