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Finding the Fourth Proportional to 13,981.50, 20,975.13 and 5,773.50

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Solution

The fourth proportional to 13,981.50, 20,975.13 and 5,773.50 is: 8,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.50 : 20,975.13 = 5,773.50 : x
  2. Step 2: Convert to fraction form
    13,981.50/20,975.13 = 5,773.50/x
  3. Step 3: Cross multiply
    13,981.50x = 20,975.13 × 5,773.50
  4. Step 4: Simplify right side
    13,981.50x = 121,099,913.06
  5. Step 5: Solve for x
    x = 121,099,913.06/13,981.50
  6. Step 6: Final answer
    x = 8,661.44

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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.