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Finding the Fourth Proportional to 17,745.42, 24,488.81 and 9,787.44

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Solution

The fourth proportional to 17,745.42, 24,488.81 and 9,787.44 is: 13,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.42 : 24,488.81 = 9,787.44 : x
  2. Step 2: Convert to fraction form
    17,745.42/24,488.81 = 9,787.44/x
  3. Step 3: Cross multiply
    17,745.42x = 24,488.81 × 9,787.44
  4. Step 4: Simplify right side
    17,745.42x = 239,682,758.55
  5. Step 5: Solve for x
    x = 239,682,758.55/17,745.42
  6. Step 6: Final answer
    x = 13,506.74

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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.