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Finding the Fourth Proportional to 24,393.15, 33,661.17 and 13,782.96

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Solution

The fourth proportional to 24,393.15, 33,661.17 and 13,782.96 is: 19,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.15 : 33,661.17 = 13,782.96 : x
  2. Step 2: Convert to fraction form
    24,393.15/33,661.17 = 13,782.96/x
  3. Step 3: Cross multiply
    24,393.15x = 33,661.17 × 13,782.96
  4. Step 4: Simplify right side
    24,393.15x = 463,950,559.66
  5. Step 5: Solve for x
    x = 463,950,559.66/24,393.15
  6. Step 6: Final answer
    x = 19,019.71

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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.