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Finding the Fourth Proportional to 17,406.57, 24,021.03 and 9,448.78

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Solution

The fourth proportional to 17,406.57, 24,021.03 and 9,448.78 is: 13,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.57 : 24,021.03 = 9,448.78 : x
  2. Step 2: Convert to fraction form
    17,406.57/24,021.03 = 9,448.78/x
  3. Step 3: Cross multiply
    17,406.57x = 24,021.03 × 9,448.78
  4. Step 4: Simplify right side
    17,406.57x = 226,969,427.84
  5. Step 5: Solve for x
    x = 226,969,427.84/17,406.57
  6. Step 6: Final answer
    x = 13,039.30

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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.