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Finding the Fourth Proportional to 29,975.76, 41,367.84 and 17,228.76

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Solution

The fourth proportional to 29,975.76, 41,367.84 and 17,228.76 is: 23,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975.76 : 41,367.84 = 17,228.76 : x
  2. Step 2: Convert to fraction form
    29,975.76/41,367.84 = 17,228.76/x
  3. Step 3: Cross multiply
    29,975.76x = 41,367.84 × 17,228.76
  4. Step 4: Simplify right side
    29,975.76x = 712,716,587.08
  5. Step 5: Solve for x
    x = 712,716,587.08/29,975.76
  6. Step 6: Final answer
    x = 23,776.43

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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.