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Finding the Fourth Proportional to 16,241.69, 24,362.54 and 6,111.97

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Solution

The fourth proportional to 16,241.69, 24,362.54 and 6,111.97 is: 9,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.69 : 24,362.54 = 6,111.97 : x
  2. Step 2: Convert to fraction form
    16,241.69/24,362.54 = 6,111.97/x
  3. Step 3: Cross multiply
    16,241.69x = 24,362.54 × 6,111.97
  4. Step 4: Simplify right side
    16,241.69x = 148,903,143.95
  5. Step 5: Solve for x
    x = 148,903,143.95/16,241.69
  6. Step 6: Final answer
    x = 9,167.96

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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.