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Finding the Fourth Proportional to 15,538.82, 23,307.96 and 3,852

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Solution

The fourth proportional to 15,538.82, 23,307.96 and 3,852 is: 5,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.82 : 23,307.96 = 3,852 : x
  2. Step 2: Convert to fraction form
    15,538.82/23,307.96 = 3,852/x
  3. Step 3: Cross multiply
    15,538.82x = 23,307.96 × 3,852
  4. Step 4: Simplify right side
    15,538.82x = 89,782,261.92
  5. Step 5: Solve for x
    x = 89,782,261.92/15,538.82
  6. Step 6: Final answer
    x = 5,777.93

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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.