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Finding the Fourth Proportional to 13,193.93, 18,207.65 and 7,144.23

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Solution

The fourth proportional to 13,193.93, 18,207.65 and 7,144.23 is: 9,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.93 : 18,207.65 = 7,144.23 : x
  2. Step 2: Convert to fraction form
    13,193.93/18,207.65 = 7,144.23/x
  3. Step 3: Cross multiply
    13,193.93x = 18,207.65 × 7,144.23
  4. Step 4: Simplify right side
    13,193.93x = 130,079,657.22
  5. Step 5: Solve for x
    x = 130,079,657.22/13,193.93
  6. Step 6: Final answer
    x = 9,859.05

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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.