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Finding the Fourth Proportional to 24,397.42, 33,668.58 and 13,219.42

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Solution

The fourth proportional to 24,397.42, 33,668.58 and 13,219.42 is: 18,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.42 : 33,668.58 = 13,219.42 : x
  2. Step 2: Convert to fraction form
    24,397.42/33,668.58 = 13,219.42/x
  3. Step 3: Cross multiply
    24,397.42x = 33,668.58 × 13,219.42
  4. Step 4: Simplify right side
    24,397.42x = 445,079,099.82
  5. Step 5: Solve for x
    x = 445,079,099.82/24,397.42
  6. Step 6: Final answer
    x = 18,242.88

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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.