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Finding the Fourth Proportional to 12,465.66, 18,703.98 and 5,896.56

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Solution

The fourth proportional to 12,465.66, 18,703.98 and 5,896.56 is: 8,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.66 : 18,703.98 = 5,896.56 : x
  2. Step 2: Convert to fraction form
    12,465.66/18,703.98 = 5,896.56/x
  3. Step 3: Cross multiply
    12,465.66x = 18,703.98 × 5,896.56
  4. Step 4: Simplify right side
    12,465.66x = 110,289,140.31
  5. Step 5: Solve for x
    x = 110,289,140.31/12,465.66
  6. Step 6: Final answer
    x = 8,847.44

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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.