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Finding the Fourth Proportional to 16,706.60, 25,057.74 and 6,317

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Solution

The fourth proportional to 16,706.60, 25,057.74 and 6,317 is: 9,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.60 : 25,057.74 = 6,317 : x
  2. Step 2: Convert to fraction form
    16,706.60/25,057.74 = 6,317/x
  3. Step 3: Cross multiply
    16,706.60x = 25,057.74 × 6,317
  4. Step 4: Simplify right side
    16,706.60x = 158,289,743.58
  5. Step 5: Solve for x
    x = 158,289,743.58/16,706.60
  6. Step 6: Final answer
    x = 9,474.68

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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.