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Finding the Fourth Proportional to 13,194.83, 18,208.89 and 7,145.13

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Solution

The fourth proportional to 13,194.83, 18,208.89 and 7,145.13 is: 9,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.83 : 18,208.89 = 7,145.13 : x
  2. Step 2: Convert to fraction form
    13,194.83/18,208.89 = 7,145.13/x
  3. Step 3: Cross multiply
    13,194.83x = 18,208.89 × 7,145.13
  4. Step 4: Simplify right side
    13,194.83x = 130,104,886.21
  5. Step 5: Solve for x
    x = 130,104,886.21/13,194.83
  6. Step 6: Final answer
    x = 9,860.30

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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.