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Finding the Fourth Proportional to 27,807.06, 38,355 and 17,201.94

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Solution

The fourth proportional to 27,807.06, 38,355 and 17,201.94 is: 23,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.06 : 38,355 = 17,201.94 : x
  2. Step 2: Convert to fraction form
    27,807.06/38,355 = 17,201.94/x
  3. Step 3: Cross multiply
    27,807.06x = 38,355 × 17,201.94
  4. Step 4: Simplify right side
    27,807.06x = 659,780,408.70
  5. Step 5: Solve for x
    x = 659,780,408.70/27,807.06
  6. Step 6: Final answer
    x = 23,727.08

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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.