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Finding the Fourth Proportional to 27,705.66, 38,234.43 and 16,525.50

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Solution

The fourth proportional to 27,705.66, 38,234.43 and 16,525.50 is: 22,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.66 : 38,234.43 = 16,525.50 : x
  2. Step 2: Convert to fraction form
    27,705.66/38,234.43 = 16,525.50/x
  3. Step 3: Cross multiply
    27,705.66x = 38,234.43 × 16,525.50
  4. Step 4: Simplify right side
    27,705.66x = 631,843,072.97
  5. Step 5: Solve for x
    x = 631,843,072.97/27,705.66
  6. Step 6: Final answer
    x = 22,805.56

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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.