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Finding the Fourth Proportional to 11,601.83, 17,364.24 and 10,564.22

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Solution

The fourth proportional to 11,601.83, 17,364.24 and 10,564.22 is: 15,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.83 : 17,364.24 = 10,564.22 : x
  2. Step 2: Convert to fraction form
    11,601.83/17,364.24 = 10,564.22/x
  3. Step 3: Cross multiply
    11,601.83x = 17,364.24 × 10,564.22
  4. Step 4: Simplify right side
    11,601.83x = 183,439,694.90
  5. Step 5: Solve for x
    x = 183,439,694.90/11,601.83
  6. Step 6: Final answer
    x = 15,811.27

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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.