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Finding the Fourth Proportional to 12,782.58, 19,172.34 and 3,423.30

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Solution

The fourth proportional to 12,782.58, 19,172.34 and 3,423.30 is: 5,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.58 : 19,172.34 = 3,423.30 : x
  2. Step 2: Convert to fraction form
    12,782.58/19,172.34 = 3,423.30/x
  3. Step 3: Cross multiply
    12,782.58x = 19,172.34 × 3,423.30
  4. Step 4: Simplify right side
    12,782.58x = 65,632,671.52
  5. Step 5: Solve for x
    x = 65,632,671.52/12,782.58
  6. Step 6: Final answer
    x = 5,134.54

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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.