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Finding the Fourth Proportional to 24,241.80, 36,347.81 and 9,433.47

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Solution

The fourth proportional to 24,241.80, 36,347.81 and 9,433.47 is: 14,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.80 : 36,347.81 = 9,433.47 : x
  2. Step 2: Convert to fraction form
    24,241.80/36,347.81 = 9,433.47/x
  3. Step 3: Cross multiply
    24,241.80x = 36,347.81 × 9,433.47
  4. Step 4: Simplify right side
    24,241.80x = 342,885,928.03
  5. Step 5: Solve for x
    x = 342,885,928.03/24,241.80
  6. Step 6: Final answer
    x = 14,144.41

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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.