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Finding the Fourth Proportional to 19,625.50, 27,083.46 and 11,242

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Solution

The fourth proportional to 19,625.50, 27,083.46 and 11,242 is: 15,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,625.50 : 27,083.46 = 11,242 : x
  2. Step 2: Convert to fraction form
    19,625.50/27,083.46 = 11,242/x
  3. Step 3: Cross multiply
    19,625.50x = 27,083.46 × 11,242
  4. Step 4: Simplify right side
    19,625.50x = 304,472,257.32
  5. Step 5: Solve for x
    x = 304,472,257.32/19,625.50
  6. Step 6: Final answer
    x = 15,514.11

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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.