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Finding the Fourth Proportional to 22,086.42, 30,438.28 and 16,412.17

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Solution

The fourth proportional to 22,086.42, 30,438.28 and 16,412.17 is: 22,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086.42 : 30,438.28 = 16,412.17 : x
  2. Step 2: Convert to fraction form
    22,086.42/30,438.28 = 16,412.17/x
  3. Step 3: Cross multiply
    22,086.42x = 30,438.28 × 16,412.17
  4. Step 4: Simplify right side
    22,086.42x = 499,558,225.87
  5. Step 5: Solve for x
    x = 499,558,225.87/22,086.42
  6. Step 6: Final answer
    x = 22,618.34

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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.