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Finding the Fourth Proportional to 22,385.10, 33,586.74 and 11,295

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Solution

The fourth proportional to 22,385.10, 33,586.74 and 11,295 is: 16,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.10 : 33,586.74 = 11,295 : x
  2. Step 2: Convert to fraction form
    22,385.10/33,586.74 = 11,295/x
  3. Step 3: Cross multiply
    22,385.10x = 33,586.74 × 11,295
  4. Step 4: Simplify right side
    22,385.10x = 379,362,228.30
  5. Step 5: Solve for x
    x = 379,362,228.30/22,385.10
  6. Step 6: Final answer
    x = 16,947.09

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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.