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Finding the Fourth Proportional to 12,818, 19,234.56 and 5,422

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Solution

The fourth proportional to 12,818, 19,234.56 and 5,422 is: 8,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818 : 19,234.56 = 5,422 : x
  2. Step 2: Convert to fraction form
    12,818/19,234.56 = 5,422/x
  3. Step 3: Cross multiply
    12,818x = 19,234.56 × 5,422
  4. Step 4: Simplify right side
    12,818x = 104,289,784.32
  5. Step 5: Solve for x
    x = 104,289,784.32/12,818
  6. Step 6: Final answer
    x = 8,136.20

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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.