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Finding the Fourth Proportional to 18,647.50, 25,733.96 and 10,264

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Solution

The fourth proportional to 18,647.50, 25,733.96 and 10,264 is: 14,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.50 : 25,733.96 = 10,264 : x
  2. Step 2: Convert to fraction form
    18,647.50/25,733.96 = 10,264/x
  3. Step 3: Cross multiply
    18,647.50x = 25,733.96 × 10,264
  4. Step 4: Simplify right side
    18,647.50x = 264,133,365.44
  5. Step 5: Solve for x
    x = 264,133,365.44/18,647.50
  6. Step 6: Final answer
    x = 14,164.55

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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.