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Finding the Fourth Proportional to 13,419.02, 18,514.90 and 8,042.30

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Solution

The fourth proportional to 13,419.02, 18,514.90 and 8,042.30 is: 11,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.02 : 18,514.90 = 8,042.30 : x
  2. Step 2: Convert to fraction form
    13,419.02/18,514.90 = 8,042.30/x
  3. Step 3: Cross multiply
    13,419.02x = 18,514.90 × 8,042.30
  4. Step 4: Simplify right side
    13,419.02x = 148,902,406.45
  5. Step 5: Solve for x
    x = 148,902,406.45/13,419.02
  6. Step 6: Final answer
    x = 11,096.37

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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.