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Finding the Fourth Proportional to 16,156.89, 22,296.84 and 9,083.76

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Solution

The fourth proportional to 16,156.89, 22,296.84 and 9,083.76 is: 12,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.89 : 22,296.84 = 9,083.76 : x
  2. Step 2: Convert to fraction form
    16,156.89/22,296.84 = 9,083.76/x
  3. Step 3: Cross multiply
    16,156.89x = 22,296.84 × 9,083.76
  4. Step 4: Simplify right side
    16,156.89x = 202,539,143.32
  5. Step 5: Solve for x
    x = 202,539,143.32/16,156.89
  6. Step 6: Final answer
    x = 12,535.78

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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.