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Finding the Fourth Proportional to 17,474.92, 24,116.34 and 10,022.92

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Solution

The fourth proportional to 17,474.92, 24,116.34 and 10,022.92 is: 13,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.92 : 24,116.34 = 10,022.92 : x
  2. Step 2: Convert to fraction form
    17,474.92/24,116.34 = 10,022.92/x
  3. Step 3: Cross multiply
    17,474.92x = 24,116.34 × 10,022.92
  4. Step 4: Simplify right side
    17,474.92x = 241,716,146.51
  5. Step 5: Solve for x
    x = 241,716,146.51/17,474.92
  6. Step 6: Final answer
    x = 13,832.17

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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.