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Finding the Fourth Proportional to 16,166.40, 22,308.05 and 9,092.67

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Solution

The fourth proportional to 16,166.40, 22,308.05 and 9,092.67 is: 12,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.40 : 22,308.05 = 9,092.67 : x
  2. Step 2: Convert to fraction form
    16,166.40/22,308.05 = 9,092.67/x
  3. Step 3: Cross multiply
    16,166.40x = 22,308.05 × 9,092.67
  4. Step 4: Simplify right side
    16,166.40x = 202,839,691.53
  5. Step 5: Solve for x
    x = 202,839,691.53/16,166.40
  6. Step 6: Final answer
    x = 12,546.99

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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.