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Finding the Fourth Proportional to 12,648, 18,939.60 and 9,356.16

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Solution

The fourth proportional to 12,648, 18,939.60 and 9,356.16 is: 14,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648 : 18,939.60 = 9,356.16 : x
  2. Step 2: Convert to fraction form
    12,648/18,939.60 = 9,356.16/x
  3. Step 3: Cross multiply
    12,648x = 18,939.60 × 9,356.16
  4. Step 4: Simplify right side
    12,648x = 177,201,927.94
  5. Step 5: Solve for x
    x = 177,201,927.94/12,648
  6. Step 6: Final answer
    x = 14,010.27

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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.