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Finding the Fourth Proportional to 24,311, 36,466.50 and 7,895

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Solution

The fourth proportional to 24,311, 36,466.50 and 7,895 is: 11,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311 : 36,466.50 = 7,895 : x
  2. Step 2: Convert to fraction form
    24,311/36,466.50 = 7,895/x
  3. Step 3: Cross multiply
    24,311x = 36,466.50 × 7,895
  4. Step 4: Simplify right side
    24,311x = 287,903,017.50
  5. Step 5: Solve for x
    x = 287,903,017.50/24,311
  6. Step 6: Final answer
    x = 11,842.50

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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.