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Finding the Fourth Proportional to 22,648.97, 33,987.24 and 14,317.49

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Solution

The fourth proportional to 22,648.97, 33,987.24 and 14,317.49 is: 21,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.97 : 33,987.24 = 14,317.49 : x
  2. Step 2: Convert to fraction form
    22,648.97/33,987.24 = 14,317.49/x
  3. Step 3: Cross multiply
    22,648.97x = 33,987.24 × 14,317.49
  4. Step 4: Simplify right side
    22,648.97x = 486,611,968.83
  5. Step 5: Solve for x
    x = 486,611,968.83/22,648.97
  6. Step 6: Final answer
    x = 21,484.95

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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.