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Finding the Fourth Proportional to 13,194.98, 18,209.08 and 7,145.22

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Solution

The fourth proportional to 13,194.98, 18,209.08 and 7,145.22 is: 9,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.98 : 18,209.08 = 7,145.22 : x
  2. Step 2: Convert to fraction form
    13,194.98/18,209.08 = 7,145.22/x
  3. Step 3: Cross multiply
    13,194.98x = 18,209.08 × 7,145.22
  4. Step 4: Simplify right side
    13,194.98x = 130,107,887.50
  5. Step 5: Solve for x
    x = 130,107,887.50/13,194.98
  6. Step 6: Final answer
    x = 9,860.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.