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Finding the Fourth Proportional to 22,514.70, 31,069.71 and 12,442.44

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Solution

The fourth proportional to 22,514.70, 31,069.71 and 12,442.44 is: 17,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.70 : 31,069.71 = 12,442.44 : x
  2. Step 2: Convert to fraction form
    22,514.70/31,069.71 = 12,442.44/x
  3. Step 3: Cross multiply
    22,514.70x = 31,069.71 × 12,442.44
  4. Step 4: Simplify right side
    22,514.70x = 386,583,002.49
  5. Step 5: Solve for x
    x = 386,583,002.49/22,514.70
  6. Step 6: Final answer
    x = 17,170.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.