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Finding the Fourth Proportional to 22,533.60, 33,793.20 and 9,382.80

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Solution

The fourth proportional to 22,533.60, 33,793.20 and 9,382.80 is: 14,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.60 : 33,793.20 = 9,382.80 : x
  2. Step 2: Convert to fraction form
    22,533.60/33,793.20 = 9,382.80/x
  3. Step 3: Cross multiply
    22,533.60x = 33,793.20 × 9,382.80
  4. Step 4: Simplify right side
    22,533.60x = 317,074,836.96
  5. Step 5: Solve for x
    x = 317,074,836.96/22,533.60
  6. Step 6: Final answer
    x = 14,071.20

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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.