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Finding the Fourth Proportional to 16,171.13, 22,316.22 and 9,097.67

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Solution

The fourth proportional to 16,171.13, 22,316.22 and 9,097.67 is: 12,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.13 : 22,316.22 = 9,097.67 : x
  2. Step 2: Convert to fraction form
    16,171.13/22,316.22 = 9,097.67/x
  3. Step 3: Cross multiply
    16,171.13x = 22,316.22 × 9,097.67
  4. Step 4: Simplify right side
    16,171.13x = 203,025,493.63
  5. Step 5: Solve for x
    x = 203,025,493.63/16,171.13
  6. Step 6: Final answer
    x = 12,554.82

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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.