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Finding the Fourth Proportional to 16,262.82, 24,394.50 and 4,576.32

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Solution

The fourth proportional to 16,262.82, 24,394.50 and 4,576.32 is: 6,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.82 : 24,394.50 = 4,576.32 : x
  2. Step 2: Convert to fraction form
    16,262.82/24,394.50 = 4,576.32/x
  3. Step 3: Cross multiply
    16,262.82x = 24,394.50 × 4,576.32
  4. Step 4: Simplify right side
    16,262.82x = 111,637,038.24
  5. Step 5: Solve for x
    x = 111,637,038.24/16,262.82
  6. Step 6: Final answer
    x = 6,864.56

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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.