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Finding the Fourth Proportional to 21,416.97, 29,564.70 and 16,113.09

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Solution

The fourth proportional to 21,416.97, 29,564.70 and 16,113.09 is: 22,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.97 : 29,564.70 = 16,113.09 : x
  2. Step 2: Convert to fraction form
    21,416.97/29,564.70 = 16,113.09/x
  3. Step 3: Cross multiply
    21,416.97x = 29,564.70 × 16,113.09
  4. Step 4: Simplify right side
    21,416.97x = 476,378,671.92
  5. Step 5: Solve for x
    x = 476,378,671.92/21,416.97
  6. Step 6: Final answer
    x = 22,243.05

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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.