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Finding the Fourth Proportional to 13,817.18, 20,722.74 and 5,495.65

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Solution

The fourth proportional to 13,817.18, 20,722.74 and 5,495.65 is: 8,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.18 : 20,722.74 = 5,495.65 : x
  2. Step 2: Convert to fraction form
    13,817.18/20,722.74 = 5,495.65/x
  3. Step 3: Cross multiply
    13,817.18x = 20,722.74 × 5,495.65
  4. Step 4: Simplify right side
    13,817.18x = 113,884,853.67
  5. Step 5: Solve for x
    x = 113,884,853.67/13,817.18
  6. Step 6: Final answer
    x = 8,242.26

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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.