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Finding the Fourth Proportional to 16,026.84, 24,032.31 and 5,493.90

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Solution

The fourth proportional to 16,026.84, 24,032.31 and 5,493.90 is: 8,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.84 : 24,032.31 = 5,493.90 : x
  2. Step 2: Convert to fraction form
    16,026.84/24,032.31 = 5,493.90/x
  3. Step 3: Cross multiply
    16,026.84x = 24,032.31 × 5,493.90
  4. Step 4: Simplify right side
    16,026.84x = 132,031,107.91
  5. Step 5: Solve for x
    x = 132,031,107.91/16,026.84
  6. Step 6: Final answer
    x = 8,238.12

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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.