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Finding the Fourth Proportional to 22,495.38, 31,043.62 and 13,064.55

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Solution

The fourth proportional to 22,495.38, 31,043.62 and 13,064.55 is: 18,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.38 : 31,043.62 = 13,064.55 : x
  2. Step 2: Convert to fraction form
    22,495.38/31,043.62 = 13,064.55/x
  3. Step 3: Cross multiply
    22,495.38x = 31,043.62 × 13,064.55
  4. Step 4: Simplify right side
    22,495.38x = 405,570,770.45
  5. Step 5: Solve for x
    x = 405,570,770.45/22,495.38
  6. Step 6: Final answer
    x = 18,029.07

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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.