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Finding the Fourth Proportional to 15,230.38, 21,018.07 and 8,942.86

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Solution

The fourth proportional to 15,230.38, 21,018.07 and 8,942.86 is: 12,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.38 : 21,018.07 = 8,942.86 : x
  2. Step 2: Convert to fraction form
    15,230.38/21,018.07 = 8,942.86/x
  3. Step 3: Cross multiply
    15,230.38x = 21,018.07 × 8,942.86
  4. Step 4: Simplify right side
    15,230.38x = 187,961,657.48
  5. Step 5: Solve for x
    x = 187,961,657.48/15,230.38
  6. Step 6: Final answer
    x = 12,341.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.