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Finding the Fourth Proportional to 12,658, 18,988.08 and 3,424

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Solution

The fourth proportional to 12,658, 18,988.08 and 3,424 is: 5,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658 : 18,988.08 = 3,424 : x
  2. Step 2: Convert to fraction form
    12,658/18,988.08 = 3,424/x
  3. Step 3: Cross multiply
    12,658x = 18,988.08 × 3,424
  4. Step 4: Simplify right side
    12,658x = 65,015,185.92
  5. Step 5: Solve for x
    x = 65,015,185.92/12,658
  6. Step 6: Final answer
    x = 5,136.29

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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.