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Finding the Fourth Proportional to 23,707.72, 35,540.68 and 9,679.53

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Solution

The fourth proportional to 23,707.72, 35,540.68 and 9,679.53 is: 14,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.72 : 35,540.68 = 9,679.53 : x
  2. Step 2: Convert to fraction form
    23,707.72/35,540.68 = 9,679.53/x
  3. Step 3: Cross multiply
    23,707.72x = 35,540.68 × 9,679.53
  4. Step 4: Simplify right side
    23,707.72x = 344,017,078.28
  5. Step 5: Solve for x
    x = 344,017,078.28/23,707.72
  6. Step 6: Final answer
    x = 14,510.76

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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.