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Finding the Fourth Proportional to 13,009.15, 17,948.20 and 7,343.23

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Solution

The fourth proportional to 13,009.15, 17,948.20 and 7,343.23 is: 10,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.15 : 17,948.20 = 7,343.23 : x
  2. Step 2: Convert to fraction form
    13,009.15/17,948.20 = 7,343.23/x
  3. Step 3: Cross multiply
    13,009.15x = 17,948.20 × 7,343.23
  4. Step 4: Simplify right side
    13,009.15x = 131,797,760.69
  5. Step 5: Solve for x
    x = 131,797,760.69/13,009.15
  6. Step 6: Final answer
    x = 10,131.16

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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.