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Finding the Fourth Proportional to 27,150.26, 37,466.30 and 15,213

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Solution

The fourth proportional to 27,150.26, 37,466.30 and 15,213 is: 20,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150.26 : 37,466.30 = 15,213 : x
  2. Step 2: Convert to fraction form
    27,150.26/37,466.30 = 15,213/x
  3. Step 3: Cross multiply
    27,150.26x = 37,466.30 × 15,213
  4. Step 4: Simplify right side
    27,150.26x = 569,974,745.84
  5. Step 5: Solve for x
    x = 569,974,745.84/27,150.26
  6. Step 6: Final answer
    x = 20,993.35

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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.