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Finding the Fourth Proportional to 23,469, 35,204.86 and 11,472.26

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Solution

The fourth proportional to 23,469, 35,204.86 and 11,472.26 is: 17,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469 : 35,204.86 = 11,472.26 : x
  2. Step 2: Convert to fraction form
    23,469/35,204.86 = 11,472.26/x
  3. Step 3: Cross multiply
    23,469x = 35,204.86 × 11,472.26
  4. Step 4: Simplify right side
    23,469x = 403,879,307.18
  5. Step 5: Solve for x
    x = 403,879,307.18/23,469
  6. Step 6: Final answer
    x = 17,209.05

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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.