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Finding the Fourth Proportional to 15,814.28, 23,720.57 and 8,022.89

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Solution

The fourth proportional to 15,814.28, 23,720.57 and 8,022.89 is: 12,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.28 : 23,720.57 = 8,022.89 : x
  2. Step 2: Convert to fraction form
    15,814.28/23,720.57 = 8,022.89/x
  3. Step 3: Cross multiply
    15,814.28x = 23,720.57 × 8,022.89
  4. Step 4: Simplify right side
    15,814.28x = 190,307,483.73
  5. Step 5: Solve for x
    x = 190,307,483.73/15,814.28
  6. Step 6: Final answer
    x = 12,033.90

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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.