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Finding the Fourth Proportional to 22,949, 31,664.74 and 13,514.12

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Solution

The fourth proportional to 22,949, 31,664.74 and 13,514.12 is: 18,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949 : 31,664.74 = 13,514.12 : x
  2. Step 2: Convert to fraction form
    22,949/31,664.74 = 13,514.12/x
  3. Step 3: Cross multiply
    22,949x = 31,664.74 × 13,514.12
  4. Step 4: Simplify right side
    22,949x = 427,921,096.13
  5. Step 5: Solve for x
    x = 427,921,096.13/22,949
  6. Step 6: Final answer
    x = 18,646.61

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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.