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Finding the Fourth Proportional to 21,781.26, 30,058.14 and 12,349.83

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Solution

The fourth proportional to 21,781.26, 30,058.14 and 12,349.83 is: 17,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.26 : 30,058.14 = 12,349.83 : x
  2. Step 2: Convert to fraction form
    21,781.26/30,058.14 = 12,349.83/x
  3. Step 3: Cross multiply
    21,781.26x = 30,058.14 × 12,349.83
  4. Step 4: Simplify right side
    21,781.26x = 371,212,919.12
  5. Step 5: Solve for x
    x = 371,212,919.12/21,781.26
  6. Step 6: Final answer
    x = 17,042.77

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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.