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Finding the Fourth Proportional to 16,536.30, 24,768.81 and 7,758.06

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Solution

The fourth proportional to 16,536.30, 24,768.81 and 7,758.06 is: 11,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.30 : 24,768.81 = 7,758.06 : x
  2. Step 2: Convert to fraction form
    16,536.30/24,768.81 = 7,758.06/x
  3. Step 3: Cross multiply
    16,536.30x = 24,768.81 × 7,758.06
  4. Step 4: Simplify right side
    16,536.30x = 192,157,914.11
  5. Step 5: Solve for x
    x = 192,157,914.11/16,536.30
  6. Step 6: Final answer
    x = 11,620.37

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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.