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Finding the Fourth Proportional to 13,889.90, 19,168.29 and 7,840.46

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Solution

The fourth proportional to 13,889.90, 19,168.29 and 7,840.46 is: 10,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.90 : 19,168.29 = 7,840.46 : x
  2. Step 2: Convert to fraction form
    13,889.90/19,168.29 = 7,840.46/x
  3. Step 3: Cross multiply
    13,889.90x = 19,168.29 × 7,840.46
  4. Step 4: Simplify right side
    13,889.90x = 150,288,211.01
  5. Step 5: Solve for x
    x = 150,288,211.01/13,889.90
  6. Step 6: Final answer
    x = 10,819.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.