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Finding the Fourth Proportional to 11,566.85, 17,266.61 and 10,165.66

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Solution

The fourth proportional to 11,566.85, 17,266.61 and 10,165.66 is: 15,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.85 : 17,266.61 = 10,165.66 : x
  2. Step 2: Convert to fraction form
    11,566.85/17,266.61 = 10,165.66/x
  3. Step 3: Cross multiply
    11,566.85x = 17,266.61 × 10,165.66
  4. Step 4: Simplify right side
    11,566.85x = 175,526,468.86
  5. Step 5: Solve for x
    x = 175,526,468.86/11,566.85
  6. Step 6: Final answer
    x = 15,174.97

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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.