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Finding the Fourth Proportional to 15,230.34, 22,846.92 and 4,137.06

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Solution

The fourth proportional to 15,230.34, 22,846.92 and 4,137.06 is: 6,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.34 : 22,846.92 = 4,137.06 : x
  2. Step 2: Convert to fraction form
    15,230.34/22,846.92 = 4,137.06/x
  3. Step 3: Cross multiply
    15,230.34x = 22,846.92 × 4,137.06
  4. Step 4: Simplify right side
    15,230.34x = 94,519,078.86
  5. Step 5: Solve for x
    x = 94,519,078.86/15,230.34
  6. Step 6: Final answer
    x = 6,205.97

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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.