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Finding the Fourth Proportional to 13,119.75, 18,106.34 and 7,531.83

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Solution

The fourth proportional to 13,119.75, 18,106.34 and 7,531.83 is: 10,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.75 : 18,106.34 = 7,531.83 : x
  2. Step 2: Convert to fraction form
    13,119.75/18,106.34 = 7,531.83/x
  3. Step 3: Cross multiply
    13,119.75x = 18,106.34 × 7,531.83
  4. Step 4: Simplify right side
    13,119.75x = 136,373,837.14
  5. Step 5: Solve for x
    x = 136,373,837.14/13,119.75
  6. Step 6: Final answer
    x = 10,394.55

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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.