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Finding the Fourth Proportional to 16,181.65, 24,275.94 and 9,164.98

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Solution

The fourth proportional to 16,181.65, 24,275.94 and 9,164.98 is: 13,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.65 : 24,275.94 = 9,164.98 : x
  2. Step 2: Convert to fraction form
    16,181.65/24,275.94 = 9,164.98/x
  3. Step 3: Cross multiply
    16,181.65x = 24,275.94 × 9,164.98
  4. Step 4: Simplify right side
    16,181.65x = 222,488,504.58
  5. Step 5: Solve for x
    x = 222,488,504.58/16,181.65
  6. Step 6: Final answer
    x = 13,749.43

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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.