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Finding the Fourth Proportional to 20,495.20, 30,742.80 and 8,831.20

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Solution

The fourth proportional to 20,495.20, 30,742.80 and 8,831.20 is: 13,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.20 : 30,742.80 = 8,831.20 : x
  2. Step 2: Convert to fraction form
    20,495.20/30,742.80 = 8,831.20/x
  3. Step 3: Cross multiply
    20,495.20x = 30,742.80 × 8,831.20
  4. Step 4: Simplify right side
    20,495.20x = 271,495,815.36
  5. Step 5: Solve for x
    x = 271,495,815.36/20,495.20
  6. Step 6: Final answer
    x = 13,246.80

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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.