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Finding the Fourth Proportional to 16,976, 23,427.60 and 9,524

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Solution

The fourth proportional to 16,976, 23,427.60 and 9,524 is: 13,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976 : 23,427.60 = 9,524 : x
  2. Step 2: Convert to fraction form
    16,976/23,427.60 = 9,524/x
  3. Step 3: Cross multiply
    16,976x = 23,427.60 × 9,524
  4. Step 4: Simplify right side
    16,976x = 223,124,462.40
  5. Step 5: Solve for x
    x = 223,124,462.40/16,976
  6. Step 6: Final answer
    x = 13,143.52

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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.