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Finding the Fourth Proportional to 17,407, 24,021.54 and 9,449.44

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Solution

The fourth proportional to 17,407, 24,021.54 and 9,449.44 is: 13,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407 : 24,021.54 = 9,449.44 : x
  2. Step 2: Convert to fraction form
    17,407/24,021.54 = 9,449.44/x
  3. Step 3: Cross multiply
    17,407x = 24,021.54 × 9,449.44
  4. Step 4: Simplify right side
    17,407x = 226,990,100.94
  5. Step 5: Solve for x
    x = 226,990,100.94/17,407
  6. Step 6: Final answer
    x = 13,040.16

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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.