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Finding the Fourth Proportional to 23,511.36, 35,266.08 and 9,660

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Solution

The fourth proportional to 23,511.36, 35,266.08 and 9,660 is: 14,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.36 : 35,266.08 = 9,660 : x
  2. Step 2: Convert to fraction form
    23,511.36/35,266.08 = 9,660/x
  3. Step 3: Cross multiply
    23,511.36x = 35,266.08 × 9,660
  4. Step 4: Simplify right side
    23,511.36x = 340,670,332.80
  5. Step 5: Solve for x
    x = 340,670,332.80/23,511.36
  6. Step 6: Final answer
    x = 14,489.61

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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.