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Finding the Fourth Proportional to 20,915.46, 31,363.98 and 9,825.30

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Solution

The fourth proportional to 20,915.46, 31,363.98 and 9,825.30 is: 14,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.46 : 31,363.98 = 9,825.30 : x
  2. Step 2: Convert to fraction form
    20,915.46/31,363.98 = 9,825.30/x
  3. Step 3: Cross multiply
    20,915.46x = 31,363.98 × 9,825.30
  4. Step 4: Simplify right side
    20,915.46x = 308,160,512.69
  5. Step 5: Solve for x
    x = 308,160,512.69/20,915.46
  6. Step 6: Final answer
    x = 14,733.62

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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.