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Finding the Fourth Proportional to 22,134.64, 33,205.24 and 7,340.30

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Solution

The fourth proportional to 22,134.64, 33,205.24 and 7,340.30 is: 11,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.64 : 33,205.24 = 7,340.30 : x
  2. Step 2: Convert to fraction form
    22,134.64/33,205.24 = 7,340.30/x
  3. Step 3: Cross multiply
    22,134.64x = 33,205.24 × 7,340.30
  4. Step 4: Simplify right side
    22,134.64x = 243,736,423.17
  5. Step 5: Solve for x
    x = 243,736,423.17/22,134.64
  6. Step 6: Final answer
    x = 11,011.54

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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.