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Finding the Fourth Proportional to 21,994.68, 32,998.50 and 13,240.20

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Solution

The fourth proportional to 21,994.68, 32,998.50 and 13,240.20 is: 19,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.68 : 32,998.50 = 13,240.20 : x
  2. Step 2: Convert to fraction form
    21,994.68/32,998.50 = 13,240.20/x
  3. Step 3: Cross multiply
    21,994.68x = 32,998.50 × 13,240.20
  4. Step 4: Simplify right side
    21,994.68x = 436,906,739.70
  5. Step 5: Solve for x
    x = 436,906,739.70/21,994.68
  6. Step 6: Final answer
    x = 19,864.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.