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Finding the Fourth Proportional to 23,471.52, 35,211 and 7,885.56

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Solution

The fourth proportional to 23,471.52, 35,211 and 7,885.56 is: 11,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.52 : 35,211 = 7,885.56 : x
  2. Step 2: Convert to fraction form
    23,471.52/35,211 = 7,885.56/x
  3. Step 3: Cross multiply
    23,471.52x = 35,211 × 7,885.56
  4. Step 4: Simplify right side
    23,471.52x = 277,658,453.16
  5. Step 5: Solve for x
    x = 277,658,453.16/23,471.52
  6. Step 6: Final answer
    x = 11,829.59

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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.