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Finding the Fourth Proportional to 16,651.17, 22,977.89 and 9,097.14

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Solution

The fourth proportional to 16,651.17, 22,977.89 and 9,097.14 is: 12,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.17 : 22,977.89 = 9,097.14 : x
  2. Step 2: Convert to fraction form
    16,651.17/22,977.89 = 9,097.14/x
  3. Step 3: Cross multiply
    16,651.17x = 22,977.89 × 9,097.14
  4. Step 4: Simplify right side
    16,651.17x = 209,033,208.20
  5. Step 5: Solve for x
    x = 209,033,208.20/16,651.17
  6. Step 6: Final answer
    x = 12,553.66

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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.