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Finding the Fourth Proportional to 15,709.36, 23,564.28 and 4,022.32

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Solution

The fourth proportional to 15,709.36, 23,564.28 and 4,022.32 is: 6,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.36 : 23,564.28 = 4,022.32 : x
  2. Step 2: Convert to fraction form
    15,709.36/23,564.28 = 4,022.32/x
  3. Step 3: Cross multiply
    15,709.36x = 23,564.28 × 4,022.32
  4. Step 4: Simplify right side
    15,709.36x = 94,783,074.73
  5. Step 5: Solve for x
    x = 94,783,074.73/15,709.36
  6. Step 6: Final answer
    x = 6,033.54

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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.