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Finding the Fourth Proportional to 22,400.06, 33,605.93 and 8,360.21

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Solution

The fourth proportional to 22,400.06, 33,605.93 and 8,360.21 is: 12,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400.06 : 33,605.93 = 8,360.21 : x
  2. Step 2: Convert to fraction form
    22,400.06/33,605.93 = 8,360.21/x
  3. Step 3: Cross multiply
    22,400.06x = 33,605.93 × 8,360.21
  4. Step 4: Simplify right side
    22,400.06x = 280,952,518.42
  5. Step 5: Solve for x
    x = 280,952,518.42/22,400.06
  6. Step 6: Final answer
    x = 12,542.49

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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.