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Finding the Fourth Proportional to 13,987.15, 20,984.34 and 5,222.14

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Solution

The fourth proportional to 13,987.15, 20,984.34 and 5,222.14 is: 7,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.15 : 20,984.34 = 5,222.14 : x
  2. Step 2: Convert to fraction form
    13,987.15/20,984.34 = 5,222.14/x
  3. Step 3: Cross multiply
    13,987.15x = 20,984.34 × 5,222.14
  4. Step 4: Simplify right side
    13,987.15x = 109,583,161.29
  5. Step 5: Solve for x
    x = 109,583,161.29/13,987.15
  6. Step 6: Final answer
    x = 7,834.56

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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.