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Finding the Fourth Proportional to 15,517.84, 23,281.64 and 5,136.88

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Solution

The fourth proportional to 15,517.84, 23,281.64 and 5,136.88 is: 7,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,517.84 : 23,281.64 = 5,136.88 : x
  2. Step 2: Convert to fraction form
    15,517.84/23,281.64 = 5,136.88/x
  3. Step 3: Cross multiply
    15,517.84x = 23,281.64 × 5,136.88
  4. Step 4: Simplify right side
    15,517.84x = 119,594,990.88
  5. Step 5: Solve for x
    x = 119,594,990.88/15,517.84
  6. Step 6: Final answer
    x = 7,706.94

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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.