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Finding the Fourth Proportional to 21,998.44, 32,994.46 and 6,411.88

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Solution

The fourth proportional to 21,998.44, 32,994.46 and 6,411.88 is: 9,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.44 : 32,994.46 = 6,411.88 : x
  2. Step 2: Convert to fraction form
    21,998.44/32,994.46 = 6,411.88/x
  3. Step 3: Cross multiply
    21,998.44x = 32,994.46 × 6,411.88
  4. Step 4: Simplify right side
    21,998.44x = 211,556,518.18
  5. Step 5: Solve for x
    x = 211,556,518.18/21,998.44
  6. Step 6: Final answer
    x = 9,616.89

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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.