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Finding the Fourth Proportional to 23,066.75, 34,596.99 and 9,017

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Solution

The fourth proportional to 23,066.75, 34,596.99 and 9,017 is: 13,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,066.75 : 34,596.99 = 9,017 : x
  2. Step 2: Convert to fraction form
    23,066.75/34,596.99 = 9,017/x
  3. Step 3: Cross multiply
    23,066.75x = 34,596.99 × 9,017
  4. Step 4: Simplify right side
    23,066.75x = 311,961,058.83
  5. Step 5: Solve for x
    x = 311,961,058.83/23,066.75
  6. Step 6: Final answer
    x = 13,524.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.