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Finding the Fourth Proportional to 19,511.68, 29,274.09 and 6,186.85

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Solution

The fourth proportional to 19,511.68, 29,274.09 and 6,186.85 is: 9,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511.68 : 29,274.09 = 6,186.85 : x
  2. Step 2: Convert to fraction form
    19,511.68/29,274.09 = 6,186.85/x
  3. Step 3: Cross multiply
    19,511.68x = 29,274.09 × 6,186.85
  4. Step 4: Simplify right side
    19,511.68x = 181,114,403.72
  5. Step 5: Solve for x
    x = 181,114,403.72/19,511.68
  6. Step 6: Final answer
    x = 9,282.36

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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.