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Finding the Fourth Proportional to 24,312, 36,468 and 5,844

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Solution

The fourth proportional to 24,312, 36,468 and 5,844 is: 8,766

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 36,468 = 5,844 : x
  2. Step 2: Convert to fraction form
    24,312/36,468 = 5,844/x
  3. Step 3: Cross multiply
    24,312x = 36,468 × 5,844
  4. Step 4: Simplify right side
    24,312x = 213,118,992
  5. Step 5: Solve for x
    x = 213,118,992/24,312
  6. Step 6: Final answer
    x = 8,766

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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.