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Finding the Fourth Proportional to 24,380.36, 33,644.66 and 13,769.76

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Solution

The fourth proportional to 24,380.36, 33,644.66 and 13,769.76 is: 19,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.36 : 33,644.66 = 13,769.76 : x
  2. Step 2: Convert to fraction form
    24,380.36/33,644.66 = 13,769.76/x
  3. Step 3: Cross multiply
    24,380.36x = 33,644.66 × 13,769.76
  4. Step 4: Simplify right side
    24,380.36x = 463,278,824.63
  5. Step 5: Solve for x
    x = 463,278,824.63/24,380.36
  6. Step 6: Final answer
    x = 19,002.14

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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.