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Finding the Fourth Proportional to 16,576.30, 24,864.81 and 4,264.30

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Solution

The fourth proportional to 16,576.30, 24,864.81 and 4,264.30 is: 6,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.30 : 24,864.81 = 4,264.30 : x
  2. Step 2: Convert to fraction form
    16,576.30/24,864.81 = 4,264.30/x
  3. Step 3: Cross multiply
    16,576.30x = 24,864.81 × 4,264.30
  4. Step 4: Simplify right side
    16,576.30x = 106,031,009.28
  5. Step 5: Solve for x
    x = 106,031,009.28/16,576.30
  6. Step 6: Final answer
    x = 6,396.54

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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.