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Finding the Fourth Proportional to 19,910.27, 29,816.13 and 11,564.98

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Solution

The fourth proportional to 19,910.27, 29,816.13 and 11,564.98 is: 17,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,910.27 : 29,816.13 = 11,564.98 : x
  2. Step 2: Convert to fraction form
    19,910.27/29,816.13 = 11,564.98/x
  3. Step 3: Cross multiply
    19,910.27x = 29,816.13 × 11,564.98
  4. Step 4: Simplify right side
    19,910.27x = 344,822,915.96
  5. Step 5: Solve for x
    x = 344,822,915.96/19,910.27
  6. Step 6: Final answer
    x = 17,318.84

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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.