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Finding the Fourth Proportional to 24,397.68, 33,668.82 and 13,219.68

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Solution

The fourth proportional to 24,397.68, 33,668.82 and 13,219.68 is: 18,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.68 : 33,668.82 = 13,219.68 : x
  2. Step 2: Convert to fraction form
    24,397.68/33,668.82 = 13,219.68/x
  3. Step 3: Cross multiply
    24,397.68x = 33,668.82 × 13,219.68
  4. Step 4: Simplify right side
    24,397.68x = 445,091,026.38
  5. Step 5: Solve for x
    x = 445,091,026.38/24,397.68
  6. Step 6: Final answer
    x = 18,243.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.