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Finding the Fourth Proportional to 19,489.89, 29,241.63 and 6,164.94

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Solution

The fourth proportional to 19,489.89, 29,241.63 and 6,164.94 is: 9,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.89 : 29,241.63 = 6,164.94 : x
  2. Step 2: Convert to fraction form
    19,489.89/29,241.63 = 6,164.94/x
  3. Step 3: Cross multiply
    19,489.89x = 29,241.63 × 6,164.94
  4. Step 4: Simplify right side
    19,489.89x = 180,272,894.45
  5. Step 5: Solve for x
    x = 180,272,894.45/19,489.89
  6. Step 6: Final answer
    x = 9,249.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.