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Finding the Fourth Proportional to 16,564, 24,853.20 and 8,252.32

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Solution

The fourth proportional to 16,564, 24,853.20 and 8,252.32 is: 12,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564 : 24,853.20 = 8,252.32 : x
  2. Step 2: Convert to fraction form
    16,564/24,853.20 = 8,252.32/x
  3. Step 3: Cross multiply
    16,564x = 24,853.20 × 8,252.32
  4. Step 4: Simplify right side
    16,564x = 205,096,559.42
  5. Step 5: Solve for x
    x = 205,096,559.42/16,564
  6. Step 6: Final answer
    x = 12,382.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.