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Finding the Fourth Proportional to 13,758.94, 20,638.44 and 4,993.86

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Solution

The fourth proportional to 13,758.94, 20,638.44 and 4,993.86 is: 7,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.94 : 20,638.44 = 4,993.86 : x
  2. Step 2: Convert to fraction form
    13,758.94/20,638.44 = 4,993.86/x
  3. Step 3: Cross multiply
    13,758.94x = 20,638.44 × 4,993.86
  4. Step 4: Simplify right side
    13,758.94x = 103,065,479.98
  5. Step 5: Solve for x
    x = 103,065,479.98/13,758.94
  6. Step 6: Final answer
    x = 7,490.80

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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.