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Finding the Fourth Proportional to 24,202.32, 33,393.24 and 14,767.44

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Solution

The fourth proportional to 24,202.32, 33,393.24 and 14,767.44 is: 20,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.32 : 33,393.24 = 14,767.44 : x
  2. Step 2: Convert to fraction form
    24,202.32/33,393.24 = 14,767.44/x
  3. Step 3: Cross multiply
    24,202.32x = 33,393.24 × 14,767.44
  4. Step 4: Simplify right side
    24,202.32x = 493,132,668.11
  5. Step 5: Solve for x
    x = 493,132,668.11/24,202.32
  6. Step 6: Final answer
    x = 20,375.43

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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.