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Finding the Fourth Proportional to 13,164.77, 18,167.42 and 7,859.48

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Solution

The fourth proportional to 13,164.77, 18,167.42 and 7,859.48 is: 10,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.77 : 18,167.42 = 7,859.48 : x
  2. Step 2: Convert to fraction form
    13,164.77/18,167.42 = 7,859.48/x
  3. Step 3: Cross multiply
    13,164.77x = 18,167.42 × 7,859.48
  4. Step 4: Simplify right side
    13,164.77x = 142,786,402.95
  5. Step 5: Solve for x
    x = 142,786,402.95/13,164.77
  6. Step 6: Final answer
    x = 10,846.10

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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.