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Finding the Fourth Proportional to 12,225.57, 18,323.69 and 6,305.28

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Solution

The fourth proportional to 12,225.57, 18,323.69 and 6,305.28 is: 9,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.57 : 18,323.69 = 6,305.28 : x
  2. Step 2: Convert to fraction form
    12,225.57/18,323.69 = 6,305.28/x
  3. Step 3: Cross multiply
    12,225.57x = 18,323.69 × 6,305.28
  4. Step 4: Simplify right side
    12,225.57x = 115,535,964.56
  5. Step 5: Solve for x
    x = 115,535,964.56/12,225.57
  6. Step 6: Final answer
    x = 9,450.35

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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.