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Finding the Fourth Proportional to 13,878.33, 20,806.56 and 5,108.46

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Solution

The fourth proportional to 13,878.33, 20,806.56 and 5,108.46 is: 7,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.33 : 20,806.56 = 5,108.46 : x
  2. Step 2: Convert to fraction form
    13,878.33/20,806.56 = 5,108.46/x
  3. Step 3: Cross multiply
    13,878.33x = 20,806.56 × 5,108.46
  4. Step 4: Simplify right side
    13,878.33x = 106,289,479.50
  5. Step 5: Solve for x
    x = 106,289,479.50/13,878.33
  6. Step 6: Final answer
    x = 7,658.66

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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.