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Finding the Fourth Proportional to 20,673.60, 31,023.60 and 7,524.80

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Solution

The fourth proportional to 20,673.60, 31,023.60 and 7,524.80 is: 11,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.60 : 31,023.60 = 7,524.80 : x
  2. Step 2: Convert to fraction form
    20,673.60/31,023.60 = 7,524.80/x
  3. Step 3: Cross multiply
    20,673.60x = 31,023.60 × 7,524.80
  4. Step 4: Simplify right side
    20,673.60x = 233,446,385.28
  5. Step 5: Solve for x
    x = 233,446,385.28/20,673.60
  6. Step 6: Final answer
    x = 11,292.00

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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.