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Finding the Fourth Proportional to 29,723.49, 41,019.71 and 17,784.54

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Solution

The fourth proportional to 29,723.49, 41,019.71 and 17,784.54 is: 24,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,723.49 : 41,019.71 = 17,784.54 : x
  2. Step 2: Convert to fraction form
    29,723.49/41,019.71 = 17,784.54/x
  3. Step 3: Cross multiply
    29,723.49x = 41,019.71 × 17,784.54
  4. Step 4: Simplify right side
    29,723.49x = 729,516,584.36
  5. Step 5: Solve for x
    x = 729,516,584.36/29,723.49
  6. Step 6: Final answer
    x = 24,543.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.