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Finding the Fourth Proportional to 18,786.50, 25,927.26 and 10,403

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Solution

The fourth proportional to 18,786.50, 25,927.26 and 10,403 is: 14,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786.50 : 25,927.26 = 10,403 : x
  2. Step 2: Convert to fraction form
    18,786.50/25,927.26 = 10,403/x
  3. Step 3: Cross multiply
    18,786.50x = 25,927.26 × 10,403
  4. Step 4: Simplify right side
    18,786.50x = 269,721,285.78
  5. Step 5: Solve for x
    x = 269,721,285.78/18,786.50
  6. Step 6: Final answer
    x = 14,357.19

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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.