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Finding the Fourth Proportional to 24,424.69, 33,706.07 and 13,814.09

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Solution

The fourth proportional to 24,424.69, 33,706.07 and 13,814.09 is: 19,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.69 : 33,706.07 = 13,814.09 : x
  2. Step 2: Convert to fraction form
    24,424.69/33,706.07 = 13,814.09/x
  3. Step 3: Cross multiply
    24,424.69x = 33,706.07 × 13,814.09
  4. Step 4: Simplify right side
    24,424.69x = 465,618,803.33
  5. Step 5: Solve for x
    x = 465,618,803.33/24,424.69
  6. Step 6: Final answer
    x = 19,063.45

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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.