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Finding the Fourth Proportional to 17,338.54, 23,927.16 and 9,380.78

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Solution

The fourth proportional to 17,338.54, 23,927.16 and 9,380.78 is: 12,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.54 : 23,927.16 = 9,380.78 : x
  2. Step 2: Convert to fraction form
    17,338.54/23,927.16 = 9,380.78/x
  3. Step 3: Cross multiply
    17,338.54x = 23,927.16 × 9,380.78
  4. Step 4: Simplify right side
    17,338.54x = 224,455,429.25
  5. Step 5: Solve for x
    x = 224,455,429.25/17,338.54
  6. Step 6: Final answer
    x = 12,945.46

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1.5x scale

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.