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Finding the Fourth Proportional to 24,831.80, 37,247.70 and 8,194.40

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Solution

The fourth proportional to 24,831.80, 37,247.70 and 8,194.40 is: 12,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831.80 : 37,247.70 = 8,194.40 : x
  2. Step 2: Convert to fraction form
    24,831.80/37,247.70 = 8,194.40/x
  3. Step 3: Cross multiply
    24,831.80x = 37,247.70 × 8,194.40
  4. Step 4: Simplify right side
    24,831.80x = 305,222,552.88
  5. Step 5: Solve for x
    x = 305,222,552.88/24,831.80
  6. Step 6: Final answer
    x = 12,291.60

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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.