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Finding the Fourth Proportional to 18,410.50, 27,615.14 and 5,931.24

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Solution

The fourth proportional to 18,410.50, 27,615.14 and 5,931.24 is: 8,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,410.50 : 27,615.14 = 5,931.24 : x
  2. Step 2: Convert to fraction form
    18,410.50/27,615.14 = 5,931.24/x
  3. Step 3: Cross multiply
    18,410.50x = 27,615.14 × 5,931.24
  4. Step 4: Simplify right side
    18,410.50x = 163,792,022.97
  5. Step 5: Solve for x
    x = 163,792,022.97/18,410.50
  6. Step 6: Final answer
    x = 8,896.66

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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.