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Finding the Fourth Proportional to 29,971, 41,364.84 and 17,872.99

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Solution

The fourth proportional to 29,971, 41,364.84 and 17,872.99 is: 24,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971 : 41,364.84 = 17,872.99 : x
  2. Step 2: Convert to fraction form
    29,971/41,364.84 = 17,872.99/x
  3. Step 3: Cross multiply
    29,971x = 41,364.84 × 17,872.99
  4. Step 4: Simplify right side
    29,971x = 739,313,371.67
  5. Step 5: Solve for x
    x = 739,313,371.67/29,971
  6. Step 6: Final answer
    x = 24,667.62

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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.