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Finding the Fourth Proportional to 12,276.41, 18,402.28 and 3,950.30

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Solution

The fourth proportional to 12,276.41, 18,402.28 and 3,950.30 is: 5,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.41 : 18,402.28 = 3,950.30 : x
  2. Step 2: Convert to fraction form
    12,276.41/18,402.28 = 3,950.30/x
  3. Step 3: Cross multiply
    12,276.41x = 18,402.28 × 3,950.30
  4. Step 4: Simplify right side
    12,276.41x = 72,694,562.81
  5. Step 5: Solve for x
    x = 72,694,562.81/12,276.41
  6. Step 6: Final answer
    x = 5,921.49

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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.