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Finding the Fourth Proportional to 15,238.60, 22,815.16 and 12,410.48

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Solution

The fourth proportional to 15,238.60, 22,815.16 and 12,410.48 is: 18,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.60 : 22,815.16 = 12,410.48 : x
  2. Step 2: Convert to fraction form
    15,238.60/22,815.16 = 12,410.48/x
  3. Step 3: Cross multiply
    15,238.60x = 22,815.16 × 12,410.48
  4. Step 4: Simplify right side
    15,238.60x = 283,147,086.88
  5. Step 5: Solve for x
    x = 283,147,086.88/15,238.60
  6. Step 6: Final answer
    x = 18,580.91

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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.