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Finding the Fourth Proportional to 13,986.10, 20,979.15 and 7,765.30

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Solution

The fourth proportional to 13,986.10, 20,979.15 and 7,765.30 is: 11,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.10 : 20,979.15 = 7,765.30 : x
  2. Step 2: Convert to fraction form
    13,986.10/20,979.15 = 7,765.30/x
  3. Step 3: Cross multiply
    13,986.10x = 20,979.15 × 7,765.30
  4. Step 4: Simplify right side
    13,986.10x = 162,909,393.50
  5. Step 5: Solve for x
    x = 162,909,393.50/13,986.10
  6. Step 6: Final answer
    x = 11,647.95

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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.