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Finding the Fourth Proportional to 12,850.34, 19,261.34 and 8,406.16

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Solution

The fourth proportional to 12,850.34, 19,261.34 and 8,406.16 is: 12,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.34 : 19,261.34 = 8,406.16 : x
  2. Step 2: Convert to fraction form
    12,850.34/19,261.34 = 8,406.16/x
  3. Step 3: Cross multiply
    12,850.34x = 19,261.34 × 8,406.16
  4. Step 4: Simplify right side
    12,850.34x = 161,913,905.85
  5. Step 5: Solve for x
    x = 161,913,905.85/12,850.34
  6. Step 6: Final answer
    x = 12,599.97

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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.