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Finding the Fourth Proportional to 22,114, 30,543.24 and 14,649.04

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Solution

The fourth proportional to 22,114, 30,543.24 and 14,649.04 is: 20,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114 : 30,543.24 = 14,649.04 : x
  2. Step 2: Convert to fraction form
    22,114/30,543.24 = 14,649.04/x
  3. Step 3: Cross multiply
    22,114x = 30,543.24 × 14,649.04
  4. Step 4: Simplify right side
    22,114x = 447,429,144.49
  5. Step 5: Solve for x
    x = 447,429,144.49/22,114
  6. Step 6: Final answer
    x = 20,232.85

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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.