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Finding the Fourth Proportional to 16,576, 24,873.76 and 7,342.08

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Solution

The fourth proportional to 16,576, 24,873.76 and 7,342.08 is: 11,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576 : 24,873.76 = 7,342.08 : x
  2. Step 2: Convert to fraction form
    16,576/24,873.76 = 7,342.08/x
  3. Step 3: Cross multiply
    16,576x = 24,873.76 × 7,342.08
  4. Step 4: Simplify right side
    16,576x = 182,625,135.82
  5. Step 5: Solve for x
    x = 182,625,135.82/16,576
  6. Step 6: Final answer
    x = 11,017.44

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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.