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Finding the Fourth Proportional to 15,813.53, 23,719.44 and 8,022.14

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Solution

The fourth proportional to 15,813.53, 23,719.44 and 8,022.14 is: 12,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.53 : 23,719.44 = 8,022.14 : x
  2. Step 2: Convert to fraction form
    15,813.53/23,719.44 = 8,022.14/x
  3. Step 3: Cross multiply
    15,813.53x = 23,719.44 × 8,022.14
  4. Step 4: Simplify right side
    15,813.53x = 190,280,668.40
  5. Step 5: Solve for x
    x = 190,280,668.40/15,813.53
  6. Step 6: Final answer
    x = 12,032.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.