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Finding the Fourth Proportional to 15,234.16, 22,846.92 and 5,998

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Solution

The fourth proportional to 15,234.16, 22,846.92 and 5,998 is: 8,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.16 : 22,846.92 = 5,998 : x
  2. Step 2: Convert to fraction form
    15,234.16/22,846.92 = 5,998/x
  3. Step 3: Cross multiply
    15,234.16x = 22,846.92 × 5,998
  4. Step 4: Simplify right side
    15,234.16x = 137,035,826.16
  5. Step 5: Solve for x
    x = 137,035,826.16/15,234.16
  6. Step 6: Final answer
    x = 8,995.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.