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Finding the Fourth Proportional to 24,073.80, 33,223.53 and 13,464.42

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Solution

The fourth proportional to 24,073.80, 33,223.53 and 13,464.42 is: 18,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.80 : 33,223.53 = 13,464.42 : x
  2. Step 2: Convert to fraction form
    24,073.80/33,223.53 = 13,464.42/x
  3. Step 3: Cross multiply
    24,073.80x = 33,223.53 × 13,464.42
  4. Step 4: Simplify right side
    24,073.80x = 447,335,561.80
  5. Step 5: Solve for x
    x = 447,335,561.80/24,073.80
  6. Step 6: Final answer
    x = 18,581.84

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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.