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Finding the Fourth Proportional to 23,680.62, 35,533.98 and 9,650.39

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Solution

The fourth proportional to 23,680.62, 35,533.98 and 9,650.39 is: 14,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.62 : 35,533.98 = 9,650.39 : x
  2. Step 2: Convert to fraction form
    23,680.62/35,533.98 = 9,650.39/x
  3. Step 3: Cross multiply
    23,680.62x = 35,533.98 × 9,650.39
  4. Step 4: Simplify right side
    23,680.62x = 342,916,587.58
  5. Step 5: Solve for x
    x = 342,916,587.58/23,680.62
  6. Step 6: Final answer
    x = 14,480.90

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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.