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Finding the Fourth Proportional to 13,164.17, 18,164.80 and 8,454.83

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Solution

The fourth proportional to 13,164.17, 18,164.80 and 8,454.83 is: 11,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.17 : 18,164.80 = 8,454.83 : x
  2. Step 2: Convert to fraction form
    13,164.17/18,164.80 = 8,454.83/x
  3. Step 3: Cross multiply
    13,164.17x = 18,164.80 × 8,454.83
  4. Step 4: Simplify right side
    13,164.17x = 153,580,295.98
  5. Step 5: Solve for x
    x = 153,580,295.98/13,164.17
  6. Step 6: Final answer
    x = 11,666.54

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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.