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Finding the Fourth Proportional to 12,384.46, 18,576.62 and 3,024.53

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Solution

The fourth proportional to 12,384.46, 18,576.62 and 3,024.53 is: 4,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.46 : 18,576.62 = 3,024.53 : x
  2. Step 2: Convert to fraction form
    12,384.46/18,576.62 = 3,024.53/x
  3. Step 3: Cross multiply
    12,384.46x = 18,576.62 × 3,024.53
  4. Step 4: Simplify right side
    12,384.46x = 56,185,544.49
  5. Step 5: Solve for x
    x = 56,185,544.49/12,384.46
  6. Step 6: Final answer
    x = 4,536.78

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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.