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Finding the Fourth Proportional to 12,465.90, 18,697.77 and 4,143.24

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Solution

The fourth proportional to 12,465.90, 18,697.77 and 4,143.24 is: 6,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.90 : 18,697.77 = 4,143.24 : x
  2. Step 2: Convert to fraction form
    12,465.90/18,697.77 = 4,143.24/x
  3. Step 3: Cross multiply
    12,465.90x = 18,697.77 × 4,143.24
  4. Step 4: Simplify right side
    12,465.90x = 77,469,348.57
  5. Step 5: Solve for x
    x = 77,469,348.57/12,465.90
  6. Step 6: Final answer
    x = 6,214.50

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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.