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Finding the Fourth Proportional to 13,546.54, 18,686.40 and 8,165.31

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Solution

The fourth proportional to 13,546.54, 18,686.40 and 8,165.31 is: 11,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.54 : 18,686.40 = 8,165.31 : x
  2. Step 2: Convert to fraction form
    13,546.54/18,686.40 = 8,165.31/x
  3. Step 3: Cross multiply
    13,546.54x = 18,686.40 × 8,165.31
  4. Step 4: Simplify right side
    13,546.54x = 152,580,148.09
  5. Step 5: Solve for x
    x = 152,580,148.09/13,546.54
  6. Step 6: Final answer
    x = 11,263.40

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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.