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Finding the Fourth Proportional to 17,470, 24,108.24 and 9,512.36

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Solution

The fourth proportional to 17,470, 24,108.24 and 9,512.36 is: 13,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470 : 24,108.24 = 9,512.36 : x
  2. Step 2: Convert to fraction form
    17,470/24,108.24 = 9,512.36/x
  3. Step 3: Cross multiply
    17,470x = 24,108.24 × 9,512.36
  4. Step 4: Simplify right side
    17,470x = 229,326,257.85
  5. Step 5: Solve for x
    x = 229,326,257.85/17,470
  6. Step 6: Final answer
    x = 13,126.86

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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.