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Finding the Fourth Proportional to 16,554.66, 24,832.67 and 7,783.44

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Solution

The fourth proportional to 16,554.66, 24,832.67 and 7,783.44 is: 11,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,554.66 : 24,832.67 = 7,783.44 : x
  2. Step 2: Convert to fraction form
    16,554.66/24,832.67 = 7,783.44/x
  3. Step 3: Cross multiply
    16,554.66x = 24,832.67 × 7,783.44
  4. Step 4: Simplify right side
    16,554.66x = 193,283,558.07
  5. Step 5: Solve for x
    x = 193,283,558.07/16,554.66
  6. Step 6: Final answer
    x = 11,675.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.