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Finding the Fourth Proportional to 23,902.55, 35,831.40 and 8,096.55

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Solution

The fourth proportional to 23,902.55, 35,831.40 and 8,096.55 is: 12,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.55 : 35,831.40 = 8,096.55 : x
  2. Step 2: Convert to fraction form
    23,902.55/35,831.40 = 8,096.55/x
  3. Step 3: Cross multiply
    23,902.55x = 35,831.40 × 8,096.55
  4. Step 4: Simplify right side
    23,902.55x = 290,110,721.67
  5. Step 5: Solve for x
    x = 290,110,721.67/23,902.55
  6. Step 6: Final answer
    x = 12,137.23

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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.