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Finding the Fourth Proportional to 13,202.34, 18,219.23 and 7,898.41

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Solution

The fourth proportional to 13,202.34, 18,219.23 and 7,898.41 is: 10,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.34 : 18,219.23 = 7,898.41 : x
  2. Step 2: Convert to fraction form
    13,202.34/18,219.23 = 7,898.41/x
  3. Step 3: Cross multiply
    13,202.34x = 18,219.23 × 7,898.41
  4. Step 4: Simplify right side
    13,202.34x = 143,902,948.42
  5. Step 5: Solve for x
    x = 143,902,948.42/13,202.34
  6. Step 6: Final answer
    x = 10,899.81

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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.