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Finding the Fourth Proportional to 16,566.35, 24,849.72 and 9,185.22

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Solution

The fourth proportional to 16,566.35, 24,849.72 and 9,185.22 is: 13,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.35 : 24,849.72 = 9,185.22 : x
  2. Step 2: Convert to fraction form
    16,566.35/24,849.72 = 9,185.22/x
  3. Step 3: Cross multiply
    16,566.35x = 24,849.72 × 9,185.22
  4. Step 4: Simplify right side
    16,566.35x = 228,250,145.14
  5. Step 5: Solve for x
    x = 228,250,145.14/16,566.35
  6. Step 6: Final answer
    x = 13,777.94

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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.