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Finding the Fourth Proportional to 23,852.53, 35,778.86 and 8,270.16

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Solution

The fourth proportional to 23,852.53, 35,778.86 and 8,270.16 is: 12,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.53 : 35,778.86 = 8,270.16 : x
  2. Step 2: Convert to fraction form
    23,852.53/35,778.86 = 8,270.16/x
  3. Step 3: Cross multiply
    23,852.53x = 35,778.86 × 8,270.16
  4. Step 4: Simplify right side
    23,852.53x = 295,896,896.82
  5. Step 5: Solve for x
    x = 295,896,896.82/23,852.53
  6. Step 6: Final answer
    x = 12,405.26

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Similar ratio
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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.