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Finding the Fourth Proportional to 17,666.92, 24,380.06 and 9,708.96

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Solution

The fourth proportional to 17,666.92, 24,380.06 and 9,708.96 is: 13,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.92 : 24,380.06 = 9,708.96 : x
  2. Step 2: Convert to fraction form
    17,666.92/24,380.06 = 9,708.96/x
  3. Step 3: Cross multiply
    17,666.92x = 24,380.06 × 9,708.96
  4. Step 4: Simplify right side
    17,666.92x = 236,705,027.34
  5. Step 5: Solve for x
    x = 236,705,027.34/17,666.92
  6. Step 6: Final answer
    x = 13,398.21

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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.