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Finding the Fourth Proportional to 12,418, 17,136.87 and 6,829

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Solution

The fourth proportional to 12,418, 17,136.87 and 6,829 is: 9,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418 : 17,136.87 = 6,829 : x
  2. Step 2: Convert to fraction form
    12,418/17,136.87 = 6,829/x
  3. Step 3: Cross multiply
    12,418x = 17,136.87 × 6,829
  4. Step 4: Simplify right side
    12,418x = 117,027,685.23
  5. Step 5: Solve for x
    x = 117,027,685.23/12,418
  6. Step 6: Final answer
    x = 9,424.04

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Why These Related Problems?

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