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Finding the Fourth Proportional to 27,197.52, 40,778.64 and 14,709.68

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Solution

The fourth proportional to 27,197.52, 40,778.64 and 14,709.68 is: 22,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.52 : 40,778.64 = 14,709.68 : x
  2. Step 2: Convert to fraction form
    27,197.52/40,778.64 = 14,709.68/x
  3. Step 3: Cross multiply
    27,197.52x = 40,778.64 × 14,709.68
  4. Step 4: Simplify right side
    27,197.52x = 599,840,745.24
  5. Step 5: Solve for x
    x = 599,840,745.24/27,197.52
  6. Step 6: Final answer
    x = 22,054.98

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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.