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Finding the Fourth Proportional to 27,352.14, 37,745.98 and 14,776.90

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Solution

The fourth proportional to 27,352.14, 37,745.98 and 14,776.90 is: 20,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352.14 : 37,745.98 = 14,776.90 : x
  2. Step 2: Convert to fraction form
    27,352.14/37,745.98 = 14,776.90/x
  3. Step 3: Cross multiply
    27,352.14x = 37,745.98 × 14,776.90
  4. Step 4: Simplify right side
    27,352.14x = 557,768,571.86
  5. Step 5: Solve for x
    x = 557,768,571.86/27,352.14
  6. Step 6: Final answer
    x = 20,392.14

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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.