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Finding the Fourth Proportional to 12,394.74, 18,586.02 and 8,648.31

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Solution

The fourth proportional to 12,394.74, 18,586.02 and 8,648.31 is: 12,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.74 : 18,586.02 = 8,648.31 : x
  2. Step 2: Convert to fraction form
    12,394.74/18,586.02 = 8,648.31/x
  3. Step 3: Cross multiply
    12,394.74x = 18,586.02 × 8,648.31
  4. Step 4: Simplify right side
    12,394.74x = 160,737,662.63
  5. Step 5: Solve for x
    x = 160,737,662.63/12,394.74
  6. Step 6: Final answer
    x = 12,968.22

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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.