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Finding the Fourth Proportional to 22,714.83, 31,346.82 and 12,643.38

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Solution

The fourth proportional to 22,714.83, 31,346.82 and 12,643.38 is: 17,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.83 : 31,346.82 = 12,643.38 : x
  2. Step 2: Convert to fraction form
    22,714.83/31,346.82 = 12,643.38/x
  3. Step 3: Cross multiply
    22,714.83x = 31,346.82 × 12,643.38
  4. Step 4: Simplify right side
    22,714.83x = 396,329,757.05
  5. Step 5: Solve for x
    x = 396,329,757.05/22,714.83
  6. Step 6: Final answer
    x = 17,448.06

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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.