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Finding the Fourth Proportional to 24,384.10, 36,576.12 and 8,585.41

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Solution

The fourth proportional to 24,384.10, 36,576.12 and 8,585.41 is: 12,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.10 : 36,576.12 = 8,585.41 : x
  2. Step 2: Convert to fraction form
    24,384.10/36,576.12 = 8,585.41/x
  3. Step 3: Cross multiply
    24,384.10x = 36,576.12 × 8,585.41
  4. Step 4: Simplify right side
    24,384.10x = 314,020,986.41
  5. Step 5: Solve for x
    x = 314,020,986.41/24,384.10
  6. Step 6: Final answer
    x = 12,878.10

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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.