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Finding the Fourth Proportional to 24,392.85, 33,662.79 and 13,782.24

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Solution

The fourth proportional to 24,392.85, 33,662.79 and 13,782.24 is: 19,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.85 : 33,662.79 = 13,782.24 : x
  2. Step 2: Convert to fraction form
    24,392.85/33,662.79 = 13,782.24/x
  3. Step 3: Cross multiply
    24,392.85x = 33,662.79 × 13,782.24
  4. Step 4: Simplify right side
    24,392.85x = 463,948,650.85
  5. Step 5: Solve for x
    x = 463,948,650.85/24,392.85
  6. Step 6: Final answer
    x = 19,019.86

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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.