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Finding the Fourth Proportional to 23,762.70, 35,639.19 and 8,181.54

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Solution

The fourth proportional to 23,762.70, 35,639.19 and 8,181.54 is: 12,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.70 : 35,639.19 = 8,181.54 : x
  2. Step 2: Convert to fraction form
    23,762.70/35,639.19 = 8,181.54/x
  3. Step 3: Cross multiply
    23,762.70x = 35,639.19 × 8,181.54
  4. Step 4: Simplify right side
    23,762.70x = 291,583,458.55
  5. Step 5: Solve for x
    x = 291,583,458.55/23,762.70
  6. Step 6: Final answer
    x = 12,270.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.