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Finding the Fourth Proportional to 22,004.84, 33,009.18 and 10,311.80

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Solution

The fourth proportional to 22,004.84, 33,009.18 and 10,311.80 is: 15,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004.84 : 33,009.18 = 10,311.80 : x
  2. Step 2: Convert to fraction form
    22,004.84/33,009.18 = 10,311.80/x
  3. Step 3: Cross multiply
    22,004.84x = 33,009.18 × 10,311.80
  4. Step 4: Simplify right side
    22,004.84x = 340,384,062.32
  5. Step 5: Solve for x
    x = 340,384,062.32/22,004.84
  6. Step 6: Final answer
    x = 15,468.60

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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.