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Finding the Fourth Proportional to 18,287.20, 27,430.80 and 9,992.80

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Solution

The fourth proportional to 18,287.20, 27,430.80 and 9,992.80 is: 14,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.20 : 27,430.80 = 9,992.80 : x
  2. Step 2: Convert to fraction form
    18,287.20/27,430.80 = 9,992.80/x
  3. Step 3: Cross multiply
    18,287.20x = 27,430.80 × 9,992.80
  4. Step 4: Simplify right side
    18,287.20x = 274,110,498.24
  5. Step 5: Solve for x
    x = 274,110,498.24/18,287.20
  6. Step 6: Final answer
    x = 14,989.20

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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.