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Finding the Fourth Proportional to 17,087, 23,580.24 and 9,635

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Solution

The fourth proportional to 17,087, 23,580.24 and 9,635 is: 13,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,087 : 23,580.24 = 9,635 : x
  2. Step 2: Convert to fraction form
    17,087/23,580.24 = 9,635/x
  3. Step 3: Cross multiply
    17,087x = 23,580.24 × 9,635
  4. Step 4: Simplify right side
    17,087x = 227,195,612.40
  5. Step 5: Solve for x
    x = 227,195,612.40/17,087
  6. Step 6: Final answer
    x = 13,296.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.