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Finding the Fourth Proportional to 13,378.06, 18,464.79 and 8,902

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Solution

The fourth proportional to 13,378.06, 18,464.79 and 8,902 is: 12,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.06 : 18,464.79 = 8,902 : x
  2. Step 2: Convert to fraction form
    13,378.06/18,464.79 = 8,902/x
  3. Step 3: Cross multiply
    13,378.06x = 18,464.79 × 8,902
  4. Step 4: Simplify right side
    13,378.06x = 164,373,560.58
  5. Step 5: Solve for x
    x = 164,373,560.58/13,378.06
  6. Step 6: Final answer
    x = 12,286.80

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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.