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Finding the Fourth Proportional to 17,008, 23,472.48 and 9,557.44

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Solution

The fourth proportional to 17,008, 23,472.48 and 9,557.44 is: 13,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,008 : 23,472.48 = 9,557.44 : x
  2. Step 2: Convert to fraction form
    17,008/23,472.48 = 9,557.44/x
  3. Step 3: Cross multiply
    17,008x = 23,472.48 × 9,557.44
  4. Step 4: Simplify right side
    17,008x = 224,336,819.25
  5. Step 5: Solve for x
    x = 224,336,819.25/17,008
  6. Step 6: Final answer
    x = 13,190.08

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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.