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Finding the Fourth Proportional to 11,663.24, 17,494.81 and 9,711.32

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Solution

The fourth proportional to 11,663.24, 17,494.81 and 9,711.32 is: 14,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.24 : 17,494.81 = 9,711.32 : x
  2. Step 2: Convert to fraction form
    11,663.24/17,494.81 = 9,711.32/x
  3. Step 3: Cross multiply
    11,663.24x = 17,494.81 × 9,711.32
  4. Step 4: Simplify right side
    11,663.24x = 169,897,586.50
  5. Step 5: Solve for x
    x = 169,897,586.50/11,663.24
  6. Step 6: Final answer
    x = 14,566.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.