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Finding the Fourth Proportional to 21,994.80, 32,984.10 and 7,204.20

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Solution

The fourth proportional to 21,994.80, 32,984.10 and 7,204.20 is: 10,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.80 : 32,984.10 = 7,204.20 : x
  2. Step 2: Convert to fraction form
    21,994.80/32,984.10 = 7,204.20/x
  3. Step 3: Cross multiply
    21,994.80x = 32,984.10 × 7,204.20
  4. Step 4: Simplify right side
    21,994.80x = 237,624,053.22
  5. Step 5: Solve for x
    x = 237,624,053.22/21,994.80
  6. Step 6: Final answer
    x = 10,803.65

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