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Finding the Fourth Proportional to 27,899.34, 41,848.46 and 8,177.46

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Solution

The fourth proportional to 27,899.34, 41,848.46 and 8,177.46 is: 12,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.34 : 41,848.46 = 8,177.46 : x
  2. Step 2: Convert to fraction form
    27,899.34/41,848.46 = 8,177.46/x
  3. Step 3: Cross multiply
    27,899.34x = 41,848.46 × 8,177.46
  4. Step 4: Simplify right side
    27,899.34x = 342,214,107.71
  5. Step 5: Solve for x
    x = 342,214,107.71/27,899.34
  6. Step 6: Final answer
    x = 12,266.03

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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.