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Finding the Fourth Proportional to 12,778.34, 19,173.79 and 5,763.20

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Solution

The fourth proportional to 12,778.34, 19,173.79 and 5,763.20 is: 8,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.34 : 19,173.79 = 5,763.20 : x
  2. Step 2: Convert to fraction form
    12,778.34/19,173.79 = 5,763.20/x
  3. Step 3: Cross multiply
    12,778.34x = 19,173.79 × 5,763.20
  4. Step 4: Simplify right side
    12,778.34x = 110,502,309.78
  5. Step 5: Solve for x
    x = 110,502,309.78/12,778.34
  6. Step 6: Final answer
    x = 8,647.63

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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.