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Finding the Fourth Proportional to 24,171.78, 33,356.54 and 13,416.02

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Solution

The fourth proportional to 24,171.78, 33,356.54 and 13,416.02 is: 18,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,171.78 : 33,356.54 = 13,416.02 : x
  2. Step 2: Convert to fraction form
    24,171.78/33,356.54 = 13,416.02/x
  3. Step 3: Cross multiply
    24,171.78x = 33,356.54 × 13,416.02
  4. Step 4: Simplify right side
    24,171.78x = 447,511,773.91
  5. Step 5: Solve for x
    x = 447,511,773.91/24,171.78
  6. Step 6: Final answer
    x = 18,513.81

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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.