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Finding the Fourth Proportional to 23,228.38, 32,059.83 and 13,795.12

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Solution

The fourth proportional to 23,228.38, 32,059.83 and 13,795.12 is: 19,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.38 : 32,059.83 = 13,795.12 : x
  2. Step 2: Convert to fraction form
    23,228.38/32,059.83 = 13,795.12/x
  3. Step 3: Cross multiply
    23,228.38x = 32,059.83 × 13,795.12
  4. Step 4: Simplify right side
    23,228.38x = 442,269,202.03
  5. Step 5: Solve for x
    x = 442,269,202.03/23,228.38
  6. Step 6: Final answer
    x = 19,040.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.