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Finding the Fourth Proportional to 16,706.52, 25,037.91 and 6,834.24

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Solution

The fourth proportional to 16,706.52, 25,037.91 and 6,834.24 is: 10,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.52 : 25,037.91 = 6,834.24 : x
  2. Step 2: Convert to fraction form
    16,706.52/25,037.91 = 6,834.24/x
  3. Step 3: Cross multiply
    16,706.52x = 25,037.91 × 6,834.24
  4. Step 4: Simplify right side
    16,706.52x = 171,115,086.04
  5. Step 5: Solve for x
    x = 171,115,086.04/16,706.52
  6. Step 6: Final answer
    x = 10,242.41

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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.