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Finding the Fourth Proportional to 17,005.60, 23,467.20 and 9,934.24

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Solution

The fourth proportional to 17,005.60, 23,467.20 and 9,934.24 is: 13,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.60 : 23,467.20 = 9,934.24 : x
  2. Step 2: Convert to fraction form
    17,005.60/23,467.20 = 9,934.24/x
  3. Step 3: Cross multiply
    17,005.60x = 23,467.20 × 9,934.24
  4. Step 4: Simplify right side
    17,005.60x = 233,128,796.93
  5. Step 5: Solve for x
    x = 233,128,796.93/17,005.60
  6. Step 6: Final answer
    x = 13,708.94

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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.