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Finding the Fourth Proportional to 16,165.29, 22,308.30 and 9,091.71

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Solution

The fourth proportional to 16,165.29, 22,308.30 and 9,091.71 is: 12,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.29 : 22,308.30 = 9,091.71 : x
  2. Step 2: Convert to fraction form
    16,165.29/22,308.30 = 9,091.71/x
  3. Step 3: Cross multiply
    16,165.29x = 22,308.30 × 9,091.71
  4. Step 4: Simplify right side
    16,165.29x = 202,820,515.69
  5. Step 5: Solve for x
    x = 202,820,515.69/16,165.29
  6. Step 6: Final answer
    x = 12,546.67

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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.