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Finding the Fourth Proportional to 12,484.87, 18,704.73 and 7,802.63

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Solution

The fourth proportional to 12,484.87, 18,704.73 and 7,802.63 is: 11,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.87 : 18,704.73 = 7,802.63 : x
  2. Step 2: Convert to fraction form
    12,484.87/18,704.73 = 7,802.63/x
  3. Step 3: Cross multiply
    12,484.87x = 18,704.73 × 7,802.63
  4. Step 4: Simplify right side
    12,484.87x = 145,945,993.92
  5. Step 5: Solve for x
    x = 145,945,993.92/12,484.87
  6. Step 6: Final answer
    x = 11,689.83

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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.