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Finding the Fourth Proportional to 27,501.80, 41,252.71 and 9,745.49

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Solution

The fourth proportional to 27,501.80, 41,252.71 and 9,745.49 is: 14,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,501.80 : 41,252.71 = 9,745.49 : x
  2. Step 2: Convert to fraction form
    27,501.80/41,252.71 = 9,745.49/x
  3. Step 3: Cross multiply
    27,501.80x = 41,252.71 × 9,745.49
  4. Step 4: Simplify right side
    27,501.80x = 402,027,951.55
  5. Step 5: Solve for x
    x = 402,027,951.55/27,501.80
  6. Step 6: Final answer
    x = 14,618.24

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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.