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Finding the Fourth Proportional to 21,778.30, 32,678.25 and 8,630.38

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Solution

The fourth proportional to 21,778.30, 32,678.25 and 8,630.38 is: 12,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.30 : 32,678.25 = 8,630.38 : x
  2. Step 2: Convert to fraction form
    21,778.30/32,678.25 = 8,630.38/x
  3. Step 3: Cross multiply
    21,778.30x = 32,678.25 × 8,630.38
  4. Step 4: Simplify right side
    21,778.30x = 282,025,715.24
  5. Step 5: Solve for x
    x = 282,025,715.24/21,778.30
  6. Step 6: Final answer
    x = 12,949.85

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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.