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Finding the Fourth Proportional to 13,770.08, 18,998.23 and 8,026.23

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Solution

The fourth proportional to 13,770.08, 18,998.23 and 8,026.23 is: 11,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.08 : 18,998.23 = 8,026.23 : x
  2. Step 2: Convert to fraction form
    13,770.08/18,998.23 = 8,026.23/x
  3. Step 3: Cross multiply
    13,770.08x = 18,998.23 × 8,026.23
  4. Step 4: Simplify right side
    13,770.08x = 152,484,096.22
  5. Step 5: Solve for x
    x = 152,484,096.22/13,770.08
  6. Step 6: Final answer
    x = 11,073.58

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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.