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Finding the Fourth Proportional to 17,685, 24,404.22 and 9,728.10

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Solution

The fourth proportional to 17,685, 24,404.22 and 9,728.10 is: 13,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685 : 24,404.22 = 9,728.10 : x
  2. Step 2: Convert to fraction form
    17,685/24,404.22 = 9,728.10/x
  3. Step 3: Cross multiply
    17,685x = 24,404.22 × 9,728.10
  4. Step 4: Simplify right side
    17,685x = 237,406,692.58
  5. Step 5: Solve for x
    x = 237,406,692.58/17,685
  6. Step 6: Final answer
    x = 13,424.18

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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.