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Finding the Fourth Proportional to 11,658.42, 17,363.97 and 11,601.92

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Solution

The fourth proportional to 11,658.42, 17,363.97 and 11,601.92 is: 17,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.42 : 17,363.97 = 11,601.92 : x
  2. Step 2: Convert to fraction form
    11,658.42/17,363.97 = 11,601.92/x
  3. Step 3: Cross multiply
    11,658.42x = 17,363.97 × 11,601.92
  4. Step 4: Simplify right side
    11,658.42x = 201,455,390.82
  5. Step 5: Solve for x
    x = 201,455,390.82/11,658.42
  6. Step 6: Final answer
    x = 17,279.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.