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Finding the Fourth Proportional to 12,311.53, 16,989.70 and 7,006.24

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Solution

The fourth proportional to 12,311.53, 16,989.70 and 7,006.24 is: 9,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.53 : 16,989.70 = 7,006.24 : x
  2. Step 2: Convert to fraction form
    12,311.53/16,989.70 = 7,006.24/x
  3. Step 3: Cross multiply
    12,311.53x = 16,989.70 × 7,006.24
  4. Step 4: Simplify right side
    12,311.53x = 119,033,915.73
  5. Step 5: Solve for x
    x = 119,033,915.73/12,311.53
  6. Step 6: Final answer
    x = 9,668.49

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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.