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Finding the Fourth Proportional to 24,074.70, 33,223.98 and 13,464.30

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Solution

The fourth proportional to 24,074.70, 33,223.98 and 13,464.30 is: 18,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.70 : 33,223.98 = 13,464.30 : x
  2. Step 2: Convert to fraction form
    24,074.70/33,223.98 = 13,464.30/x
  3. Step 3: Cross multiply
    24,074.70x = 33,223.98 × 13,464.30
  4. Step 4: Simplify right side
    24,074.70x = 447,337,633.91
  5. Step 5: Solve for x
    x = 447,337,633.91/24,074.70
  6. Step 6: Final answer
    x = 18,581.23

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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.