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Finding the Fourth Proportional to 12,811.31, 19,225.52 and 4,491.32

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Solution

The fourth proportional to 12,811.31, 19,225.52 and 4,491.32 is: 6,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.31 : 19,225.52 = 4,491.32 : x
  2. Step 2: Convert to fraction form
    12,811.31/19,225.52 = 4,491.32/x
  3. Step 3: Cross multiply
    12,811.31x = 19,225.52 × 4,491.32
  4. Step 4: Simplify right side
    12,811.31x = 86,347,940.03
  5. Step 5: Solve for x
    x = 86,347,940.03/12,811.31
  6. Step 6: Final answer
    x = 6,739.98

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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.