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Finding the Fourth Proportional to 27,571.84, 38,050.34 and 16,965

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Solution

The fourth proportional to 27,571.84, 38,050.34 and 16,965 is: 23,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.84 : 38,050.34 = 16,965 : x
  2. Step 2: Convert to fraction form
    27,571.84/38,050.34 = 16,965/x
  3. Step 3: Cross multiply
    27,571.84x = 38,050.34 × 16,965
  4. Step 4: Simplify right side
    27,571.84x = 645,524,018.10
  5. Step 5: Solve for x
    x = 645,524,018.10/27,571.84
  6. Step 6: Final answer
    x = 23,412.44

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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.