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Finding the Fourth Proportional to 12,466.80, 18,685.98 and 7,788.96

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Solution

The fourth proportional to 12,466.80, 18,685.98 and 7,788.96 is: 11,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.80 : 18,685.98 = 7,788.96 : x
  2. Step 2: Convert to fraction form
    12,466.80/18,685.98 = 7,788.96/x
  3. Step 3: Cross multiply
    12,466.80x = 18,685.98 × 7,788.96
  4. Step 4: Simplify right side
    12,466.80x = 145,544,350.78
  5. Step 5: Solve for x
    x = 145,544,350.78/12,466.80
  6. Step 6: Final answer
    x = 11,674.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.