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Finding the Fourth Proportional to 23,217.64, 34,826.36 and 7,635.26

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Solution

The fourth proportional to 23,217.64, 34,826.36 and 7,635.26 is: 11,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.64 : 34,826.36 = 7,635.26 : x
  2. Step 2: Convert to fraction form
    23,217.64/34,826.36 = 7,635.26/x
  3. Step 3: Cross multiply
    23,217.64x = 34,826.36 × 7,635.26
  4. Step 4: Simplify right side
    23,217.64x = 265,908,362.34
  5. Step 5: Solve for x
    x = 265,908,362.34/23,217.64
  6. Step 6: Final answer
    x = 11,452.86

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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.