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Finding the Fourth Proportional to 12,268.29, 18,404.16 and 4,873.50

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Solution

The fourth proportional to 12,268.29, 18,404.16 and 4,873.50 is: 7,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.29 : 18,404.16 = 4,873.50 : x
  2. Step 2: Convert to fraction form
    12,268.29/18,404.16 = 4,873.50/x
  3. Step 3: Cross multiply
    12,268.29x = 18,404.16 × 4,873.50
  4. Step 4: Simplify right side
    12,268.29x = 89,692,673.76
  5. Step 5: Solve for x
    x = 89,692,673.76/12,268.29
  6. Step 6: Final answer
    x = 7,310.94

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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.