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Finding the Fourth Proportional to 12,820.72, 19,233.60 and 5,029.60

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Solution

The fourth proportional to 12,820.72, 19,233.60 and 5,029.60 is: 7,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.72 : 19,233.60 = 5,029.60 : x
  2. Step 2: Convert to fraction form
    12,820.72/19,233.60 = 5,029.60/x
  3. Step 3: Cross multiply
    12,820.72x = 19,233.60 × 5,029.60
  4. Step 4: Simplify right side
    12,820.72x = 96,737,314.56
  5. Step 5: Solve for x
    x = 96,737,314.56/12,820.72
  6. Step 6: Final answer
    x = 7,545.39

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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.