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Finding the Fourth Proportional to 22,046.31, 33,058.53 and 11,514.69

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Solution

The fourth proportional to 22,046.31, 33,058.53 and 11,514.69 is: 17,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.31 : 33,058.53 = 11,514.69 : x
  2. Step 2: Convert to fraction form
    22,046.31/33,058.53 = 11,514.69/x
  3. Step 3: Cross multiply
    22,046.31x = 33,058.53 × 11,514.69
  4. Step 4: Simplify right side
    22,046.31x = 380,658,724.81
  5. Step 5: Solve for x
    x = 380,658,724.81/22,046.31
  6. Step 6: Final answer
    x = 17,266.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.