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Finding the Fourth Proportional to 24,065.77, 33,197.43 and 13,993.09

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Solution

The fourth proportional to 24,065.77, 33,197.43 and 13,993.09 is: 19,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.77 : 33,197.43 = 13,993.09 : x
  2. Step 2: Convert to fraction form
    24,065.77/33,197.43 = 13,993.09/x
  3. Step 3: Cross multiply
    24,065.77x = 33,197.43 × 13,993.09
  4. Step 4: Simplify right side
    24,065.77x = 464,534,625.76
  5. Step 5: Solve for x
    x = 464,534,625.76/24,065.77
  6. Step 6: Final answer
    x = 19,302.71

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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.