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Finding the Fourth Proportional to 12,202.68, 18,303.78 and 5,628.86

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Solution

The fourth proportional to 12,202.68, 18,303.78 and 5,628.86 is: 8,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.68 : 18,303.78 = 5,628.86 : x
  2. Step 2: Convert to fraction form
    12,202.68/18,303.78 = 5,628.86/x
  3. Step 3: Cross multiply
    12,202.68x = 18,303.78 × 5,628.86
  4. Step 4: Simplify right side
    12,202.68x = 103,029,323.57
  5. Step 5: Solve for x
    x = 103,029,323.57/12,202.68
  6. Step 6: Final answer
    x = 8,443.17

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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.