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Finding the Fourth Proportional to 17,474.84, 24,115.86 and 9,516.68

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Solution

The fourth proportional to 17,474.84, 24,115.86 and 9,516.68 is: 13,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.84 : 24,115.86 = 9,516.68 : x
  2. Step 2: Convert to fraction form
    17,474.84/24,115.86 = 9,516.68/x
  3. Step 3: Cross multiply
    17,474.84x = 24,115.86 × 9,516.68
  4. Step 4: Simplify right side
    17,474.84x = 229,502,922.54
  5. Step 5: Solve for x
    x = 229,502,922.54/17,474.84
  6. Step 6: Final answer
    x = 13,133.33

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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.