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Finding the Fourth Proportional to 21,894.24, 32,813.67 and 13,993.71

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Solution

The fourth proportional to 21,894.24, 32,813.67 and 13,993.71 is: 20,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.24 : 32,813.67 = 13,993.71 : x
  2. Step 2: Convert to fraction form
    21,894.24/32,813.67 = 13,993.71/x
  3. Step 3: Cross multiply
    21,894.24x = 32,813.67 × 13,993.71
  4. Step 4: Simplify right side
    21,894.24x = 459,184,982.02
  5. Step 5: Solve for x
    x = 459,184,982.02/21,894.24
  6. Step 6: Final answer
    x = 20,972.87

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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.