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Finding the Fourth Proportional to 17,031.70, 23,500.02 and 9,954.88

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Solution

The fourth proportional to 17,031.70, 23,500.02 and 9,954.88 is: 13,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.70 : 23,500.02 = 9,954.88 : x
  2. Step 2: Convert to fraction form
    17,031.70/23,500.02 = 9,954.88/x
  3. Step 3: Cross multiply
    17,031.70x = 23,500.02 × 9,954.88
  4. Step 4: Simplify right side
    17,031.70x = 233,939,879.10
  5. Step 5: Solve for x
    x = 233,939,879.10/17,031.70
  6. Step 6: Final answer
    x = 13,735.56

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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.