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Finding the Fourth Proportional to 13,985.24, 20,965.98 and 6,189.80

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Solution

The fourth proportional to 13,985.24, 20,965.98 and 6,189.80 is: 9,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.24 : 20,965.98 = 6,189.80 : x
  2. Step 2: Convert to fraction form
    13,985.24/20,965.98 = 6,189.80/x
  3. Step 3: Cross multiply
    13,985.24x = 20,965.98 × 6,189.80
  4. Step 4: Simplify right side
    13,985.24x = 129,775,223.00
  5. Step 5: Solve for x
    x = 129,775,223.00/13,985.24
  6. Step 6: Final answer
    x = 9,279.44

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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.