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Finding the Fourth Proportional to 11,685, 17,545.28 and 11,306.38

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Solution

The fourth proportional to 11,685, 17,545.28 and 11,306.38 is: 16,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685 : 17,545.28 = 11,306.38 : x
  2. Step 2: Convert to fraction form
    11,685/17,545.28 = 11,306.38/x
  3. Step 3: Cross multiply
    11,685x = 17,545.28 × 11,306.38
  4. Step 4: Simplify right side
    11,685x = 198,373,602.89
  5. Step 5: Solve for x
    x = 198,373,602.89/11,685
  6. Step 6: Final answer
    x = 16,976.77

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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.