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Finding the Fourth Proportional to 12,139, 18,206.46 and 3,374.80

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Solution

The fourth proportional to 12,139, 18,206.46 and 3,374.80 is: 5,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139 : 18,206.46 = 3,374.80 : x
  2. Step 2: Convert to fraction form
    12,139/18,206.46 = 3,374.80/x
  3. Step 3: Cross multiply
    12,139x = 18,206.46 × 3,374.80
  4. Step 4: Simplify right side
    12,139x = 61,443,161.21
  5. Step 5: Solve for x
    x = 61,443,161.21/12,139
  6. Step 6: Final answer
    x = 5,061.63

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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.