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Finding the Fourth Proportional to 24,397.14, 33,668.04 and 13,219.14

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Solution

The fourth proportional to 24,397.14, 33,668.04 and 13,219.14 is: 18,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.14 : 33,668.04 = 13,219.14 : x
  2. Step 2: Convert to fraction form
    24,397.14/33,668.04 = 13,219.14/x
  3. Step 3: Cross multiply
    24,397.14x = 33,668.04 × 13,219.14
  4. Step 4: Simplify right side
    24,397.14x = 445,062,534.29
  5. Step 5: Solve for x
    x = 445,062,534.29/24,397.14
  6. Step 6: Final answer
    x = 18,242.41

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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.