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Finding the Fourth Proportional to 12,406.46, 18,607.73 and 10,311.54

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Solution

The fourth proportional to 12,406.46, 18,607.73 and 10,311.54 is: 15,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.46 : 18,607.73 = 10,311.54 : x
  2. Step 2: Convert to fraction form
    12,406.46/18,607.73 = 10,311.54/x
  3. Step 3: Cross multiply
    12,406.46x = 18,607.73 × 10,311.54
  4. Step 4: Simplify right side
    12,406.46x = 191,874,317.87
  5. Step 5: Solve for x
    x = 191,874,317.87/12,406.46
  6. Step 6: Final answer
    x = 15,465.68

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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.