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Finding the Fourth Proportional to 13,991.50, 20,987.25 and 4,130.64

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Solution

The fourth proportional to 13,991.50, 20,987.25 and 4,130.64 is: 6,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.50 : 20,987.25 = 4,130.64 : x
  2. Step 2: Convert to fraction form
    13,991.50/20,987.25 = 4,130.64/x
  3. Step 3: Cross multiply
    13,991.50x = 20,987.25 × 4,130.64
  4. Step 4: Simplify right side
    13,991.50x = 86,690,774.34
  5. Step 5: Solve for x
    x = 86,690,774.34/13,991.50
  6. Step 6: Final answer
    x = 6,195.96

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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.