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Finding the Fourth Proportional to 22,494.14, 31,041.66 and 12,422.38

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Solution

The fourth proportional to 22,494.14, 31,041.66 and 12,422.38 is: 17,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.14 : 31,041.66 = 12,422.38 : x
  2. Step 2: Convert to fraction form
    22,494.14/31,041.66 = 12,422.38/x
  3. Step 3: Cross multiply
    22,494.14x = 31,041.66 × 12,422.38
  4. Step 4: Simplify right side
    22,494.14x = 385,611,323.53
  5. Step 5: Solve for x
    x = 385,611,323.53/22,494.14
  6. Step 6: Final answer
    x = 17,142.75

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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.