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Finding the Fourth Proportional to 17,616.78, 24,311.49 and 9,658.53

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Solution

The fourth proportional to 17,616.78, 24,311.49 and 9,658.53 is: 13,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.78 : 24,311.49 = 9,658.53 : x
  2. Step 2: Convert to fraction form
    17,616.78/24,311.49 = 9,658.53/x
  3. Step 3: Cross multiply
    17,616.78x = 24,311.49 × 9,658.53
  4. Step 4: Simplify right side
    17,616.78x = 234,813,255.51
  5. Step 5: Solve for x
    x = 234,813,255.51/17,616.78
  6. Step 6: Final answer
    x = 13,328.95

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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.