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Finding the Fourth Proportional to 29,905.71, 41,270.36 and 16,476.77

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Solution

The fourth proportional to 29,905.71, 41,270.36 and 16,476.77 is: 22,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,905.71 : 41,270.36 = 16,476.77 : x
  2. Step 2: Convert to fraction form
    29,905.71/41,270.36 = 16,476.77/x
  3. Step 3: Cross multiply
    29,905.71x = 41,270.36 × 16,476.77
  4. Step 4: Simplify right side
    29,905.71x = 680,002,110.87
  5. Step 5: Solve for x
    x = 680,002,110.87/29,905.71
  6. Step 6: Final answer
    x = 22,738.21

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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.