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Finding the Fourth Proportional to 12,356.94, 18,512.10 and 6,109.70

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Solution

The fourth proportional to 12,356.94, 18,512.10 and 6,109.70 is: 9,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.94 : 18,512.10 = 6,109.70 : x
  2. Step 2: Convert to fraction form
    12,356.94/18,512.10 = 6,109.70/x
  3. Step 3: Cross multiply
    12,356.94x = 18,512.10 × 6,109.70
  4. Step 4: Simplify right side
    12,356.94x = 113,103,377.37
  5. Step 5: Solve for x
    x = 113,103,377.37/12,356.94
  6. Step 6: Final answer
    x = 9,153.02

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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.