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Finding the Fourth Proportional to 16,171.54, 22,316.49 and 9,097.96

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Solution

The fourth proportional to 16,171.54, 22,316.49 and 9,097.96 is: 12,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.54 : 22,316.49 = 9,097.96 : x
  2. Step 2: Convert to fraction form
    16,171.54/22,316.49 = 9,097.96/x
  3. Step 3: Cross multiply
    16,171.54x = 22,316.49 × 9,097.96
  4. Step 4: Simplify right side
    16,171.54x = 203,034,533.36
  5. Step 5: Solve for x
    x = 203,034,533.36/16,171.54
  6. Step 6: Final answer
    x = 12,555.05

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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.