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Finding the Fourth Proportional to 12,902.06, 17,804.94 and 7,596.84

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Solution

The fourth proportional to 12,902.06, 17,804.94 and 7,596.84 is: 10,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.06 : 17,804.94 = 7,596.84 : x
  2. Step 2: Convert to fraction form
    12,902.06/17,804.94 = 7,596.84/x
  3. Step 3: Cross multiply
    12,902.06x = 17,804.94 × 7,596.84
  4. Step 4: Simplify right side
    12,902.06x = 135,261,280.39
  5. Step 5: Solve for x
    x = 135,261,280.39/12,902.06
  6. Step 6: Final answer
    x = 10,483.70

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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.