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Finding the Fourth Proportional to 17,296.60, 25,947.06 and 6,201.40

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Solution

The fourth proportional to 17,296.60, 25,947.06 and 6,201.40 is: 9,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.60 : 25,947.06 = 6,201.40 : x
  2. Step 2: Convert to fraction form
    17,296.60/25,947.06 = 6,201.40/x
  3. Step 3: Cross multiply
    17,296.60x = 25,947.06 × 6,201.40
  4. Step 4: Simplify right side
    17,296.60x = 160,908,097.88
  5. Step 5: Solve for x
    x = 160,908,097.88/17,296.60
  6. Step 6: Final answer
    x = 9,302.87

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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.