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Finding the Fourth Proportional to 16,384.68, 24,576.90 and 7,614.72

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Solution

The fourth proportional to 16,384.68, 24,576.90 and 7,614.72 is: 11,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.68 : 24,576.90 = 7,614.72 : x
  2. Step 2: Convert to fraction form
    16,384.68/24,576.90 = 7,614.72/x
  3. Step 3: Cross multiply
    16,384.68x = 24,576.90 × 7,614.72
  4. Step 4: Simplify right side
    16,384.68x = 187,146,211.97
  5. Step 5: Solve for x
    x = 187,146,211.97/16,384.68
  6. Step 6: Final answer
    x = 11,422.02

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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.