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Finding the Fourth Proportional to 12,444.24, 18,660.24 and 7,770.48

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Solution

The fourth proportional to 12,444.24, 18,660.24 and 7,770.48 is: 11,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.24 : 18,660.24 = 7,770.48 : x
  2. Step 2: Convert to fraction form
    12,444.24/18,660.24 = 7,770.48/x
  3. Step 3: Cross multiply
    12,444.24x = 18,660.24 × 7,770.48
  4. Step 4: Simplify right side
    12,444.24x = 144,999,021.72
  5. Step 5: Solve for x
    x = 144,999,021.72/12,444.24
  6. Step 6: Final answer
    x = 11,651.90

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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.