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Finding the Fourth Proportional to 20,137.60, 30,177.60 and 14,831.20

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Solution

The fourth proportional to 20,137.60, 30,177.60 and 14,831.20 is: 22,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.60 : 30,177.60 = 14,831.20 : x
  2. Step 2: Convert to fraction form
    20,137.60/30,177.60 = 14,831.20/x
  3. Step 3: Cross multiply
    20,137.60x = 30,177.60 × 14,831.20
  4. Step 4: Simplify right side
    20,137.60x = 447,570,021.12
  5. Step 5: Solve for x
    x = 447,570,021.12/20,137.60
  6. Step 6: Final answer
    x = 22,225.59

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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.