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Finding the Fourth Proportional to 22,514.45, 31,069.80 and 12,443.47

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Solution

The fourth proportional to 22,514.45, 31,069.80 and 12,443.47 is: 17,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.45 : 31,069.80 = 12,443.47 : x
  2. Step 2: Convert to fraction form
    22,514.45/31,069.80 = 12,443.47/x
  3. Step 3: Cross multiply
    22,514.45x = 31,069.80 × 12,443.47
  4. Step 4: Simplify right side
    22,514.45x = 386,616,124.21
  5. Step 5: Solve for x
    x = 386,616,124.21/22,514.45
  6. Step 6: Final answer
    x = 17,171.91

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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.