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Finding the Fourth Proportional to 21,974.77, 30,327.04 and 12,416.41

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Solution

The fourth proportional to 21,974.77, 30,327.04 and 12,416.41 is: 17,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.77 : 30,327.04 = 12,416.41 : x
  2. Step 2: Convert to fraction form
    21,974.77/30,327.04 = 12,416.41/x
  3. Step 3: Cross multiply
    21,974.77x = 30,327.04 × 12,416.41
  4. Step 4: Simplify right side
    21,974.77x = 376,552,962.73
  5. Step 5: Solve for x
    x = 376,552,962.73/21,974.77
  6. Step 6: Final answer
    x = 17,135.70

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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.