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Finding the Fourth Proportional to 17,564.88, 24,243.48 and 11,276.40

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Solution

The fourth proportional to 17,564.88, 24,243.48 and 11,276.40 is: 15,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.88 : 24,243.48 = 11,276.40 : x
  2. Step 2: Convert to fraction form
    17,564.88/24,243.48 = 11,276.40/x
  3. Step 3: Cross multiply
    17,564.88x = 24,243.48 × 11,276.40
  4. Step 4: Simplify right side
    17,564.88x = 273,379,177.87
  5. Step 5: Solve for x
    x = 273,379,177.87/17,564.88
  6. Step 6: Final answer
    x = 15,563.97

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