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Finding the Fourth Proportional to 12,137.13, 18,207 and 3,817.40

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Solution

The fourth proportional to 12,137.13, 18,207 and 3,817.40 is: 5,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.13 : 18,207 = 3,817.40 : x
  2. Step 2: Convert to fraction form
    12,137.13/18,207 = 3,817.40/x
  3. Step 3: Cross multiply
    12,137.13x = 18,207 × 3,817.40
  4. Step 4: Simplify right side
    12,137.13x = 69,503,310.77
  5. Step 5: Solve for x
    x = 69,503,310.77/12,137.13
  6. Step 6: Final answer
    x = 5,726.50

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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.