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Finding the Fourth Proportional to 15,180.80, 22,771.20 and 13,539.20

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Solution

The fourth proportional to 15,180.80, 22,771.20 and 13,539.20 is: 20,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,180.80 : 22,771.20 = 13,539.20 : x
  2. Step 2: Convert to fraction form
    15,180.80/22,771.20 = 13,539.20/x
  3. Step 3: Cross multiply
    15,180.80x = 22,771.20 × 13,539.20
  4. Step 4: Simplify right side
    15,180.80x = 308,303,831.04
  5. Step 5: Solve for x
    x = 308,303,831.04/15,180.80
  6. Step 6: Final answer
    x = 20,308.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.