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Finding the Fourth Proportional to 22,080.96, 33,118.08 and 10,984

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Solution

The fourth proportional to 22,080.96, 33,118.08 and 10,984 is: 16,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080.96 : 33,118.08 = 10,984 : x
  2. Step 2: Convert to fraction form
    22,080.96/33,118.08 = 10,984/x
  3. Step 3: Cross multiply
    22,080.96x = 33,118.08 × 10,984
  4. Step 4: Simplify right side
    22,080.96x = 363,768,990.72
  5. Step 5: Solve for x
    x = 363,768,990.72/22,080.96
  6. Step 6: Final answer
    x = 16,474.33

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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.