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Finding the Fourth Proportional to 22,014, 33,021.12 and 5,598

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Solution

The fourth proportional to 22,014, 33,021.12 and 5,598 is: 8,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014 : 33,021.12 = 5,598 : x
  2. Step 2: Convert to fraction form
    22,014/33,021.12 = 5,598/x
  3. Step 3: Cross multiply
    22,014x = 33,021.12 × 5,598
  4. Step 4: Simplify right side
    22,014x = 184,852,229.76
  5. Step 5: Solve for x
    x = 184,852,229.76/22,014
  6. Step 6: Final answer
    x = 8,397.03

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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.