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Finding the Fourth Proportional to 12,477.06, 17,202.78 and 7,993.44

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Solution

The fourth proportional to 12,477.06, 17,202.78 and 7,993.44 is: 11,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.06 : 17,202.78 = 7,993.44 : x
  2. Step 2: Convert to fraction form
    12,477.06/17,202.78 = 7,993.44/x
  3. Step 3: Cross multiply
    12,477.06x = 17,202.78 × 7,993.44
  4. Step 4: Simplify right side
    12,477.06x = 137,509,389.76
  5. Step 5: Solve for x
    x = 137,509,389.76/12,477.06
  6. Step 6: Final answer
    x = 11,020.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.