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Finding the Fourth Proportional to 13,083.22, 18,054.78 and 7,114.84

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Solution

The fourth proportional to 13,083.22, 18,054.78 and 7,114.84 is: 9,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.22 : 18,054.78 = 7,114.84 : x
  2. Step 2: Convert to fraction form
    13,083.22/18,054.78 = 7,114.84/x
  3. Step 3: Cross multiply
    13,083.22x = 18,054.78 × 7,114.84
  4. Step 4: Simplify right side
    13,083.22x = 128,456,870.94
  5. Step 5: Solve for x
    x = 128,456,870.94/13,083.22
  6. Step 6: Final answer
    x = 9,818.44

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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.