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Finding the Fourth Proportional to 29,722.94, 41,017.65 and 17,147.69

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Solution

The fourth proportional to 29,722.94, 41,017.65 and 17,147.69 is: 23,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,722.94 : 41,017.65 = 17,147.69 : x
  2. Step 2: Convert to fraction form
    29,722.94/41,017.65 = 17,147.69/x
  3. Step 3: Cross multiply
    29,722.94x = 41,017.65 × 17,147.69
  4. Step 4: Simplify right side
    29,722.94x = 703,357,946.73
  5. Step 5: Solve for x
    x = 703,357,946.73/29,722.94
  6. Step 6: Final answer
    x = 23,663.81

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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.