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Finding the Fourth Proportional to 22,093.66, 30,468.36 and 14,122

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Solution

The fourth proportional to 22,093.66, 30,468.36 and 14,122 is: 19,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093.66 : 30,468.36 = 14,122 : x
  2. Step 2: Convert to fraction form
    22,093.66/30,468.36 = 14,122/x
  3. Step 3: Cross multiply
    22,093.66x = 30,468.36 × 14,122
  4. Step 4: Simplify right side
    22,093.66x = 430,274,179.92
  5. Step 5: Solve for x
    x = 430,274,179.92/22,093.66
  6. Step 6: Final answer
    x = 19,475.01

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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.