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Finding the Fourth Proportional to 24,397.31, 33,668.32 and 13,219.31

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Solution

The fourth proportional to 24,397.31, 33,668.32 and 13,219.31 is: 18,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.31 : 33,668.32 = 13,219.31 : x
  2. Step 2: Convert to fraction form
    24,397.31/33,668.32 = 13,219.31/x
  3. Step 3: Cross multiply
    24,397.31x = 33,668.32 × 13,219.31
  4. Step 4: Simplify right side
    24,397.31x = 445,072,010.38
  5. Step 5: Solve for x
    x = 445,072,010.38/24,397.31
  6. Step 6: Final answer
    x = 18,242.67

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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.