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Finding the Fourth Proportional to 13,878.58, 20,817.87 and 3,490.33

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Solution

The fourth proportional to 13,878.58, 20,817.87 and 3,490.33 is: 5,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.58 : 20,817.87 = 3,490.33 : x
  2. Step 2: Convert to fraction form
    13,878.58/20,817.87 = 3,490.33/x
  3. Step 3: Cross multiply
    13,878.58x = 20,817.87 × 3,490.33
  4. Step 4: Simplify right side
    13,878.58x = 72,661,236.20
  5. Step 5: Solve for x
    x = 72,661,236.20/13,878.58
  6. Step 6: Final answer
    x = 5,235.50

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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.