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Finding the Fourth Proportional to 13,164.59, 18,167.16 and 7,859.30

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Solution

The fourth proportional to 13,164.59, 18,167.16 and 7,859.30 is: 10,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.59 : 18,167.16 = 7,859.30 : x
  2. Step 2: Convert to fraction form
    13,164.59/18,167.16 = 7,859.30/x
  3. Step 3: Cross multiply
    13,164.59x = 18,167.16 × 7,859.30
  4. Step 4: Simplify right side
    13,164.59x = 142,781,069.75
  5. Step 5: Solve for x
    x = 142,781,069.75/13,164.59
  6. Step 6: Final answer
    x = 10,845.85

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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.