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Finding the Fourth Proportional to 17,463, 24,098.42 and 9,505.08

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Solution

The fourth proportional to 17,463, 24,098.42 and 9,505.08 is: 13,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,463 : 24,098.42 = 9,505.08 : x
  2. Step 2: Convert to fraction form
    17,463/24,098.42 = 9,505.08/x
  3. Step 3: Cross multiply
    17,463x = 24,098.42 × 9,505.08
  4. Step 4: Simplify right side
    17,463x = 229,057,409.97
  5. Step 5: Solve for x
    x = 229,057,409.97/17,463
  6. Step 6: Final answer
    x = 13,116.73

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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.