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Finding the Fourth Proportional to 16,171.70, 22,316.01 and 9,097.82

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Solution

The fourth proportional to 16,171.70, 22,316.01 and 9,097.82 is: 12,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.70 : 22,316.01 = 9,097.82 : x
  2. Step 2: Convert to fraction form
    16,171.70/22,316.01 = 9,097.82/x
  3. Step 3: Cross multiply
    16,171.70x = 22,316.01 × 9,097.82
  4. Step 4: Simplify right side
    16,171.70x = 203,027,042.10
  5. Step 5: Solve for x
    x = 203,027,042.10/16,171.70
  6. Step 6: Final answer
    x = 12,554.47

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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.