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Finding the Fourth Proportional to 16,546.30, 24,783.81 and 7,768.06

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Solution

The fourth proportional to 16,546.30, 24,783.81 and 7,768.06 is: 11,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.30 : 24,783.81 = 7,768.06 : x
  2. Step 2: Convert to fraction form
    16,546.30/24,783.81 = 7,768.06/x
  3. Step 3: Cross multiply
    16,546.30x = 24,783.81 × 7,768.06
  4. Step 4: Simplify right side
    16,546.30x = 192,522,123.11
  5. Step 5: Solve for x
    x = 192,522,123.11/16,546.30
  6. Step 6: Final answer
    x = 11,635.36

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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.