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Finding the Fourth Proportional to 17,072.66, 23,545.54 and 11,102.15

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Solution

The fourth proportional to 17,072.66, 23,545.54 and 11,102.15 is: 15,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,072.66 : 23,545.54 = 11,102.15 : x
  2. Step 2: Convert to fraction form
    17,072.66/23,545.54 = 11,102.15/x
  3. Step 3: Cross multiply
    17,072.66x = 23,545.54 × 11,102.15
  4. Step 4: Simplify right side
    17,072.66x = 261,406,116.91
  5. Step 5: Solve for x
    x = 261,406,116.91/17,072.66
  6. Step 6: Final answer
    x = 15,311.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.