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Finding the Fourth Proportional to 17,656, 24,364.86 and 9,698.20

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Solution

The fourth proportional to 17,656, 24,364.86 and 9,698.20 is: 13,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656 : 24,364.86 = 9,698.20 : x
  2. Step 2: Convert to fraction form
    17,656/24,364.86 = 9,698.20/x
  3. Step 3: Cross multiply
    17,656x = 24,364.86 × 9,698.20
  4. Step 4: Simplify right side
    17,656x = 236,295,285.25
  5. Step 5: Solve for x
    x = 236,295,285.25/17,656
  6. Step 6: Final answer
    x = 13,383.29

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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.