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Finding the Fourth Proportional to 12,546.95, 18,805.23 and 6,994.40

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Solution

The fourth proportional to 12,546.95, 18,805.23 and 6,994.40 is: 10,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.95 : 18,805.23 = 6,994.40 : x
  2. Step 2: Convert to fraction form
    12,546.95/18,805.23 = 6,994.40/x
  3. Step 3: Cross multiply
    12,546.95x = 18,805.23 × 6,994.40
  4. Step 4: Simplify right side
    12,546.95x = 131,531,206.69
  5. Step 5: Solve for x
    x = 131,531,206.69/12,546.95
  6. Step 6: Final answer
    x = 10,483.13

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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.