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Finding the Fourth Proportional to 24,384.71, 36,578.49 and 6,855.91

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Solution

The fourth proportional to 24,384.71, 36,578.49 and 6,855.91 is: 10,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.71 : 36,578.49 = 6,855.91 : x
  2. Step 2: Convert to fraction form
    24,384.71/36,578.49 = 6,855.91/x
  3. Step 3: Cross multiply
    24,384.71x = 36,578.49 × 6,855.91
  4. Step 4: Simplify right side
    24,384.71x = 250,778,835.38
  5. Step 5: Solve for x
    x = 250,778,835.38/24,384.71
  6. Step 6: Final answer
    x = 10,284.27

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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.