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Finding the Fourth Proportional to 14,915.23, 20,583.35 and 8,200.43

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Solution

The fourth proportional to 14,915.23, 20,583.35 and 8,200.43 is: 11,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.23 : 20,583.35 = 8,200.43 : x
  2. Step 2: Convert to fraction form
    14,915.23/20,583.35 = 8,200.43/x
  3. Step 3: Cross multiply
    14,915.23x = 20,583.35 × 8,200.43
  4. Step 4: Simplify right side
    14,915.23x = 168,792,320.84
  5. Step 5: Solve for x
    x = 168,792,320.84/14,915.23
  6. Step 6: Final answer
    x = 11,316.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.