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Finding the Fourth Proportional to 23,570.46, 35,348.17 and 7,772.54

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Solution

The fourth proportional to 23,570.46, 35,348.17 and 7,772.54 is: 11,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.46 : 35,348.17 = 7,772.54 : x
  2. Step 2: Convert to fraction form
    23,570.46/35,348.17 = 7,772.54/x
  3. Step 3: Cross multiply
    23,570.46x = 35,348.17 × 7,772.54
  4. Step 4: Simplify right side
    23,570.46x = 274,745,065.25
  5. Step 5: Solve for x
    x = 274,745,065.25/23,570.46
  6. Step 6: Final answer
    x = 11,656.33

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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.