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Finding the Fourth Proportional to 15,412.80, 23,086.80 and 12,820.80

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Solution

The fourth proportional to 15,412.80, 23,086.80 and 12,820.80 is: 19,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.80 : 23,086.80 = 12,820.80 : x
  2. Step 2: Convert to fraction form
    15,412.80/23,086.80 = 12,820.80/x
  3. Step 3: Cross multiply
    15,412.80x = 23,086.80 × 12,820.80
  4. Step 4: Simplify right side
    15,412.80x = 295,991,245.44
  5. Step 5: Solve for x
    x = 295,991,245.44/15,412.80
  6. Step 6: Final answer
    x = 19,204.25

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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.