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Finding the Fourth Proportional to 22,144.16, 33,208.02 and 8,992.10

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Solution

The fourth proportional to 22,144.16, 33,208.02 and 8,992.10 is: 13,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144.16 : 33,208.02 = 8,992.10 : x
  2. Step 2: Convert to fraction form
    22,144.16/33,208.02 = 8,992.10/x
  3. Step 3: Cross multiply
    22,144.16x = 33,208.02 × 8,992.10
  4. Step 4: Simplify right side
    22,144.16x = 298,609,670.60
  5. Step 5: Solve for x
    x = 298,609,670.60/22,144.16
  6. Step 6: Final answer
    x = 13,484.81

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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.