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Finding the Fourth Proportional to 17,616.63, 24,310.83 and 9,658.68

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Solution

The fourth proportional to 17,616.63, 24,310.83 and 9,658.68 is: 13,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.63 : 24,310.83 = 9,658.68 : x
  2. Step 2: Convert to fraction form
    17,616.63/24,310.83 = 9,658.68/x
  3. Step 3: Cross multiply
    17,616.63x = 24,310.83 × 9,658.68
  4. Step 4: Simplify right side
    17,616.63x = 234,810,527.50
  5. Step 5: Solve for x
    x = 234,810,527.50/17,616.63
  6. Step 6: Final answer
    x = 13,328.91

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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.