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Finding the Fourth Proportional to 23,506.81, 35,237.72 and 8,711.75

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Solution

The fourth proportional to 23,506.81, 35,237.72 and 8,711.75 is: 13,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.81 : 35,237.72 = 8,711.75 : x
  2. Step 2: Convert to fraction form
    23,506.81/35,237.72 = 8,711.75/x
  3. Step 3: Cross multiply
    23,506.81x = 35,237.72 × 8,711.75
  4. Step 4: Simplify right side
    23,506.81x = 306,982,317.08
  5. Step 5: Solve for x
    x = 306,982,317.08/23,506.81
  6. Step 6: Final answer
    x = 13,059.29

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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.