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Finding the Fourth Proportional to 24,408.32, 33,684 and 13,797.32

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Solution

The fourth proportional to 24,408.32, 33,684 and 13,797.32 is: 19,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.32 : 33,684 = 13,797.32 : x
  2. Step 2: Convert to fraction form
    24,408.32/33,684 = 13,797.32/x
  3. Step 3: Cross multiply
    24,408.32x = 33,684 × 13,797.32
  4. Step 4: Simplify right side
    24,408.32x = 464,748,926.88
  5. Step 5: Solve for x
    x = 464,748,926.88/24,408.32
  6. Step 6: Final answer
    x = 19,040.59

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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.