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Finding the Fourth Proportional to 24,393.78, 33,662.57 and 13,783.19

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Solution

The fourth proportional to 24,393.78, 33,662.57 and 13,783.19 is: 19,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.78 : 33,662.57 = 13,783.19 : x
  2. Step 2: Convert to fraction form
    24,393.78/33,662.57 = 13,783.19/x
  3. Step 3: Cross multiply
    24,393.78x = 33,662.57 × 13,783.19
  4. Step 4: Simplify right side
    24,393.78x = 463,977,487.20
  5. Step 5: Solve for x
    x = 463,977,487.20/24,393.78
  6. Step 6: Final answer
    x = 19,020.32

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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.