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Finding the Fourth Proportional to 22,476.14, 31,017.22 and 12,404.90

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Solution

The fourth proportional to 22,476.14, 31,017.22 and 12,404.90 is: 17,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.14 : 31,017.22 = 12,404.90 : x
  2. Step 2: Convert to fraction form
    22,476.14/31,017.22 = 12,404.90/x
  3. Step 3: Cross multiply
    22,476.14x = 31,017.22 × 12,404.90
  4. Step 4: Simplify right side
    22,476.14x = 384,765,512.38
  5. Step 5: Solve for x
    x = 384,765,512.38/22,476.14
  6. Step 6: Final answer
    x = 17,118.84

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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.