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Finding the Fourth Proportional to 24,393.58, 33,662.70 and 13,782.99

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Solution

The fourth proportional to 24,393.58, 33,662.70 and 13,782.99 is: 19,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.58 : 33,662.70 = 13,782.99 : x
  2. Step 2: Convert to fraction form
    24,393.58/33,662.70 = 13,782.99/x
  3. Step 3: Cross multiply
    24,393.58x = 33,662.70 × 13,782.99
  4. Step 4: Simplify right side
    24,393.58x = 463,972,582.92
  5. Step 5: Solve for x
    x = 463,972,582.92/24,393.58
  6. Step 6: Final answer
    x = 19,020.27

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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.