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Finding the Fourth Proportional to 24,454.78, 33,748.40 and 13,844.20

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Solution

The fourth proportional to 24,454.78, 33,748.40 and 13,844.20 is: 19,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.78 : 33,748.40 = 13,844.20 : x
  2. Step 2: Convert to fraction form
    24,454.78/33,748.40 = 13,844.20/x
  3. Step 3: Cross multiply
    24,454.78x = 33,748.40 × 13,844.20
  4. Step 4: Simplify right side
    24,454.78x = 467,219,599.28
  5. Step 5: Solve for x
    x = 467,219,599.28/24,454.78
  6. Step 6: Final answer
    x = 19,105.45

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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.