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Finding the Fourth Proportional to 15,785.36, 23,683.56 and 7,019.44

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Solution

The fourth proportional to 15,785.36, 23,683.56 and 7,019.44 is: 10,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.36 : 23,683.56 = 7,019.44 : x
  2. Step 2: Convert to fraction form
    15,785.36/23,683.56 = 7,019.44/x
  3. Step 3: Cross multiply
    15,785.36x = 23,683.56 × 7,019.44
  4. Step 4: Simplify right side
    15,785.36x = 166,245,328.41
  5. Step 5: Solve for x
    x = 166,245,328.41/15,785.36
  6. Step 6: Final answer
    x = 10,531.61

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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.