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Finding the Fourth Proportional to 15,238.80, 22,825.80 and 12,646.80

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Solution

The fourth proportional to 15,238.80, 22,825.80 and 12,646.80 is: 18,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.80 : 22,825.80 = 12,646.80 : x
  2. Step 2: Convert to fraction form
    15,238.80/22,825.80 = 12,646.80/x
  3. Step 3: Cross multiply
    15,238.80x = 22,825.80 × 12,646.80
  4. Step 4: Simplify right side
    15,238.80x = 288,673,327.44
  5. Step 5: Solve for x
    x = 288,673,327.44/15,238.80
  6. Step 6: Final answer
    x = 18,943.31

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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.