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Finding the Fourth Proportional to 12,198.96, 18,305.96 and 4,802.16

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Solution

The fourth proportional to 12,198.96, 18,305.96 and 4,802.16 is: 7,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.96 : 18,305.96 = 4,802.16 : x
  2. Step 2: Convert to fraction form
    12,198.96/18,305.96 = 4,802.16/x
  3. Step 3: Cross multiply
    12,198.96x = 18,305.96 × 4,802.16
  4. Step 4: Simplify right side
    12,198.96x = 87,908,148.87
  5. Step 5: Solve for x
    x = 87,908,148.87/12,198.96
  6. Step 6: Final answer
    x = 7,206.20

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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.