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Finding the Fourth Proportional to 22,543.59, 33,821.87 and 6,749.81

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Solution

The fourth proportional to 22,543.59, 33,821.87 and 6,749.81 is: 10,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.59 : 33,821.87 = 6,749.81 : x
  2. Step 2: Convert to fraction form
    22,543.59/33,821.87 = 6,749.81/x
  3. Step 3: Cross multiply
    22,543.59x = 33,821.87 × 6,749.81
  4. Step 4: Simplify right side
    22,543.59x = 228,291,196.34
  5. Step 5: Solve for x
    x = 228,291,196.34/22,543.59
  6. Step 6: Final answer
    x = 10,126.66

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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.