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Finding the Fourth Proportional to 13,833.65, 20,750.46 and 5,069.25

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Solution

The fourth proportional to 13,833.65, 20,750.46 and 5,069.25 is: 7,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.65 : 20,750.46 = 5,069.25 : x
  2. Step 2: Convert to fraction form
    13,833.65/20,750.46 = 5,069.25/x
  3. Step 3: Cross multiply
    13,833.65x = 20,750.46 × 5,069.25
  4. Step 4: Simplify right side
    13,833.65x = 105,189,269.36
  5. Step 5: Solve for x
    x = 105,189,269.36/13,833.65
  6. Step 6: Final answer
    x = 7,603.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.