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Finding the Fourth Proportional to 13,486.25, 20,231.80 and 4,126.09

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Solution

The fourth proportional to 13,486.25, 20,231.80 and 4,126.09 is: 6,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.25 : 20,231.80 = 4,126.09 : x
  2. Step 2: Convert to fraction form
    13,486.25/20,231.80 = 4,126.09/x
  3. Step 3: Cross multiply
    13,486.25x = 20,231.80 × 4,126.09
  4. Step 4: Simplify right side
    13,486.25x = 83,478,156.45
  5. Step 5: Solve for x
    x = 83,478,156.45/13,486.25
  6. Step 6: Final answer
    x = 6,189.87

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