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Finding the Fourth Proportional to 15,536.70, 23,288.64 and 11,151.78

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Solution

The fourth proportional to 15,536.70, 23,288.64 and 11,151.78 is: 16,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.70 : 23,288.64 = 11,151.78 : x
  2. Step 2: Convert to fraction form
    15,536.70/23,288.64 = 11,151.78/x
  3. Step 3: Cross multiply
    15,536.70x = 23,288.64 × 11,151.78
  4. Step 4: Simplify right side
    15,536.70x = 259,709,789.78
  5. Step 5: Solve for x
    x = 259,709,789.78/15,536.70
  6. Step 6: Final answer
    x = 16,715.89

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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.