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Finding the Fourth Proportional to 12,296.97, 18,445.32 and 5,719.50

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Solution

The fourth proportional to 12,296.97, 18,445.32 and 5,719.50 is: 8,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.97 : 18,445.32 = 5,719.50 : x
  2. Step 2: Convert to fraction form
    12,296.97/18,445.32 = 5,719.50/x
  3. Step 3: Cross multiply
    12,296.97x = 18,445.32 × 5,719.50
  4. Step 4: Simplify right side
    12,296.97x = 105,498,007.74
  5. Step 5: Solve for x
    x = 105,498,007.74/12,296.97
  6. Step 6: Final answer
    x = 8,579.19

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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.