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Finding the Fourth Proportional to 15,238.80, 22,858.20 and 12,808.80

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Solution

The fourth proportional to 15,238.80, 22,858.20 and 12,808.80 is: 19,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.80 : 22,858.20 = 12,808.80 : x
  2. Step 2: Convert to fraction form
    15,238.80/22,858.20 = 12,808.80/x
  3. Step 3: Cross multiply
    15,238.80x = 22,858.20 × 12,808.80
  4. Step 4: Simplify right side
    15,238.80x = 292,786,112.16
  5. Step 5: Solve for x
    x = 292,786,112.16/15,238.80
  6. Step 6: Final answer
    x = 19,213.20

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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.