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Finding the Fourth Proportional to 12,303.68, 18,455.78 and 3,983.69

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Solution

The fourth proportional to 12,303.68, 18,455.78 and 3,983.69 is: 5,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.68 : 18,455.78 = 3,983.69 : x
  2. Step 2: Convert to fraction form
    12,303.68/18,455.78 = 3,983.69/x
  3. Step 3: Cross multiply
    12,303.68x = 18,455.78 × 3,983.69
  4. Step 4: Simplify right side
    12,303.68x = 73,521,994.03
  5. Step 5: Solve for x
    x = 73,521,994.03/12,303.68
  6. Step 6: Final answer
    x = 5,975.61

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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.