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Finding the Fourth Proportional to 13,381.50, 18,466.47 and 8,076.32

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Solution

The fourth proportional to 13,381.50, 18,466.47 and 8,076.32 is: 11,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.50 : 18,466.47 = 8,076.32 : x
  2. Step 2: Convert to fraction form
    13,381.50/18,466.47 = 8,076.32/x
  3. Step 3: Cross multiply
    13,381.50x = 18,466.47 × 8,076.32
  4. Step 4: Simplify right side
    13,381.50x = 149,141,028.66
  5. Step 5: Solve for x
    x = 149,141,028.66/13,381.50
  6. Step 6: Final answer
    x = 11,145.31

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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.