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Finding the Fourth Proportional to 23,188.74, 34,785.78 and 7,388.20

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Solution

The fourth proportional to 23,188.74, 34,785.78 and 7,388.20 is: 11,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.74 : 34,785.78 = 7,388.20 : x
  2. Step 2: Convert to fraction form
    23,188.74/34,785.78 = 7,388.20/x
  3. Step 3: Cross multiply
    23,188.74x = 34,785.78 × 7,388.20
  4. Step 4: Simplify right side
    23,188.74x = 257,004,299.80
  5. Step 5: Solve for x
    x = 257,004,299.80/23,188.74
  6. Step 6: Final answer
    x = 11,083.15

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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.