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Finding the Fourth Proportional to 19,837.48, 29,760.30 and 6,511.48

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Solution

The fourth proportional to 19,837.48, 29,760.30 and 6,511.48 is: 9,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,837.48 : 29,760.30 = 6,511.48 : x
  2. Step 2: Convert to fraction form
    19,837.48/29,760.30 = 6,511.48/x
  3. Step 3: Cross multiply
    19,837.48x = 29,760.30 × 6,511.48
  4. Step 4: Simplify right side
    19,837.48x = 193,783,598.24
  5. Step 5: Solve for x
    x = 193,783,598.24/19,837.48
  6. Step 6: Final answer
    x = 9,768.56

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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.