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Finding the Fourth Proportional to 16,232.81, 24,357.31 and 7,473.87

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Solution

The fourth proportional to 16,232.81, 24,357.31 and 7,473.87 is: 11,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.81 : 24,357.31 = 7,473.87 : x
  2. Step 2: Convert to fraction form
    16,232.81/24,357.31 = 7,473.87/x
  3. Step 3: Cross multiply
    16,232.81x = 24,357.31 × 7,473.87
  4. Step 4: Simplify right side
    16,232.81x = 182,043,349.81
  5. Step 5: Solve for x
    x = 182,043,349.81/16,232.81
  6. Step 6: Final answer
    x = 11,214.53

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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.