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Finding the Fourth Proportional to 13,262.30, 19,896.54 and 4,942.34

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Solution

The fourth proportional to 13,262.30, 19,896.54 and 4,942.34 is: 7,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.30 : 19,896.54 = 4,942.34 : x
  2. Step 2: Convert to fraction form
    13,262.30/19,896.54 = 4,942.34/x
  3. Step 3: Cross multiply
    13,262.30x = 19,896.54 × 4,942.34
  4. Step 4: Simplify right side
    13,262.30x = 98,335,465.50
  5. Step 5: Solve for x
    x = 98,335,465.50/13,262.30
  6. Step 6: Final answer
    x = 7,414.66

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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.