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Finding the Fourth Proportional to 27,820.90, 41,745.06 and 13,027.26

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Solution

The fourth proportional to 27,820.90, 41,745.06 and 13,027.26 is: 19,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.90 : 41,745.06 = 13,027.26 : x
  2. Step 2: Convert to fraction form
    27,820.90/41,745.06 = 13,027.26/x
  3. Step 3: Cross multiply
    27,820.90x = 41,745.06 × 13,027.26
  4. Step 4: Simplify right side
    27,820.90x = 543,823,750.34
  5. Step 5: Solve for x
    x = 543,823,750.34/27,820.90
  6. Step 6: Final answer
    x = 19,547.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.