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Finding the Fourth Proportional to 17,500.14, 24,150.09 and 9,542.34

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Solution

The fourth proportional to 17,500.14, 24,150.09 and 9,542.34 is: 13,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500.14 : 24,150.09 = 9,542.34 : x
  2. Step 2: Convert to fraction form
    17,500.14/24,150.09 = 9,542.34/x
  3. Step 3: Cross multiply
    17,500.14x = 24,150.09 × 9,542.34
  4. Step 4: Simplify right side
    17,500.14x = 230,448,369.81
  5. Step 5: Solve for x
    x = 230,448,369.81/17,500.14
  6. Step 6: Final answer
    x = 13,168.37

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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.