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Finding the Fourth Proportional to 23,706.27, 35,534.70 and 9,660.20

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Solution

The fourth proportional to 23,706.27, 35,534.70 and 9,660.20 is: 14,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.27 : 35,534.70 = 9,660.20 : x
  2. Step 2: Convert to fraction form
    23,706.27/35,534.70 = 9,660.20/x
  3. Step 3: Cross multiply
    23,706.27x = 35,534.70 × 9,660.20
  4. Step 4: Simplify right side
    23,706.27x = 343,272,131.27
  5. Step 5: Solve for x
    x = 343,272,131.27/23,706.27
  6. Step 6: Final answer
    x = 14,480.23

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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.