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Finding the Fourth Proportional to 12,013.60, 18,020.40 and 6,820.96

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Solution

The fourth proportional to 12,013.60, 18,020.40 and 6,820.96 is: 10,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.60 : 18,020.40 = 6,820.96 : x
  2. Step 2: Convert to fraction form
    12,013.60/18,020.40 = 6,820.96/x
  3. Step 3: Cross multiply
    12,013.60x = 18,020.40 × 6,820.96
  4. Step 4: Simplify right side
    12,013.60x = 122,916,427.58
  5. Step 5: Solve for x
    x = 122,916,427.58/12,013.60
  6. Step 6: Final answer
    x = 10,231.44

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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.