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Finding the Fourth Proportional to 23,661, 35,497.50 and 8,869.96

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Solution

The fourth proportional to 23,661, 35,497.50 and 8,869.96 is: 13,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,661 : 35,497.50 = 8,869.96 : x
  2. Step 2: Convert to fraction form
    23,661/35,497.50 = 8,869.96/x
  3. Step 3: Cross multiply
    23,661x = 35,497.50 × 8,869.96
  4. Step 4: Simplify right side
    23,661x = 314,861,405.10
  5. Step 5: Solve for x
    x = 314,861,405.10/23,661
  6. Step 6: Final answer
    x = 13,307.19

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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.