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Finding the Fourth Proportional to 24,504.69, 33,816.99 and 13,894.11

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Solution

The fourth proportional to 24,504.69, 33,816.99 and 13,894.11 is: 19,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.69 : 33,816.99 = 13,894.11 : x
  2. Step 2: Convert to fraction form
    24,504.69/33,816.99 = 13,894.11/x
  3. Step 3: Cross multiply
    24,504.69x = 33,816.99 × 13,894.11
  4. Step 4: Simplify right side
    24,504.69x = 469,856,978.93
  5. Step 5: Solve for x
    x = 469,856,978.93/24,504.69
  6. Step 6: Final answer
    x = 19,174.17

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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.