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Finding the Fourth Proportional to 22,330.02, 33,471.62 and 7,533.84

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Solution

The fourth proportional to 22,330.02, 33,471.62 and 7,533.84 is: 11,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,330.02 : 33,471.62 = 7,533.84 : x
  2. Step 2: Convert to fraction form
    22,330.02/33,471.62 = 7,533.84/x
  3. Step 3: Cross multiply
    22,330.02x = 33,471.62 × 7,533.84
  4. Step 4: Simplify right side
    22,330.02x = 252,169,829.62
  5. Step 5: Solve for x
    x = 252,169,829.62/22,330.02
  6. Step 6: Final answer
    x = 11,292.86

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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.