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Finding the Fourth Proportional to 11,222.96, 16,836.26 and 9,138.02

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Solution

The fourth proportional to 11,222.96, 16,836.26 and 9,138.02 is: 13,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.96 : 16,836.26 = 9,138.02 : x
  2. Step 2: Convert to fraction form
    11,222.96/16,836.26 = 9,138.02/x
  3. Step 3: Cross multiply
    11,222.96x = 16,836.26 × 9,138.02
  4. Step 4: Simplify right side
    11,222.96x = 153,849,950.73
  5. Step 5: Solve for x
    x = 153,849,950.73/11,222.96
  6. Step 6: Final answer
    x = 13,708.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.