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Finding the Fourth Proportional to 24,393.46, 33,663.64 and 13,782.88

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Solution

The fourth proportional to 24,393.46, 33,663.64 and 13,782.88 is: 19,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.46 : 33,663.64 = 13,782.88 : x
  2. Step 2: Convert to fraction form
    24,393.46/33,663.64 = 13,782.88/x
  3. Step 3: Cross multiply
    24,393.46x = 33,663.64 × 13,782.88
  4. Step 4: Simplify right side
    24,393.46x = 463,981,910.48
  5. Step 5: Solve for x
    x = 463,981,910.48/24,393.46
  6. Step 6: Final answer
    x = 19,020.75

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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.