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Finding the Fourth Proportional to 17,233.77, 23,782.50 and 9,680.12

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Solution

The fourth proportional to 17,233.77, 23,782.50 and 9,680.12 is: 13,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.77 : 23,782.50 = 9,680.12 : x
  2. Step 2: Convert to fraction form
    17,233.77/23,782.50 = 9,680.12/x
  3. Step 3: Cross multiply
    17,233.77x = 23,782.50 × 9,680.12
  4. Step 4: Simplify right side
    17,233.77x = 230,217,334.99
  5. Step 5: Solve for x
    x = 230,217,334.99/17,233.77
  6. Step 6: Final answer
    x = 13,358.50

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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.