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Finding the Fourth Proportional to 12,561.49, 18,842.24 and 4,775.77

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Solution

The fourth proportional to 12,561.49, 18,842.24 and 4,775.77 is: 7,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.49 : 18,842.24 = 4,775.77 : x
  2. Step 2: Convert to fraction form
    12,561.49/18,842.24 = 4,775.77/x
  3. Step 3: Cross multiply
    12,561.49x = 18,842.24 × 4,775.77
  4. Step 4: Simplify right side
    12,561.49x = 89,986,204.52
  5. Step 5: Solve for x
    x = 89,986,204.52/12,561.49
  6. Step 6: Final answer
    x = 7,163.66

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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.