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Finding the Fourth Proportional to 13,840.07, 20,770.18 and 5,522.47

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Solution

The fourth proportional to 13,840.07, 20,770.18 and 5,522.47 is: 8,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.07 : 20,770.18 = 5,522.47 : x
  2. Step 2: Convert to fraction form
    13,840.07/20,770.18 = 5,522.47/x
  3. Step 3: Cross multiply
    13,840.07x = 20,770.18 × 5,522.47
  4. Step 4: Simplify right side
    13,840.07x = 114,702,630.21
  5. Step 5: Solve for x
    x = 114,702,630.21/13,840.07
  6. Step 6: Final answer
    x = 8,287.72

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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.