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Finding the Fourth Proportional to 12,902.37, 17,804.66 and 7,236.42

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Solution

The fourth proportional to 12,902.37, 17,804.66 and 7,236.42 is: 9,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.37 : 17,804.66 = 7,236.42 : x
  2. Step 2: Convert to fraction form
    12,902.37/17,804.66 = 7,236.42/x
  3. Step 3: Cross multiply
    12,902.37x = 17,804.66 × 7,236.42
  4. Step 4: Simplify right side
    12,902.37x = 128,841,961.54
  5. Step 5: Solve for x
    x = 128,841,961.54/12,902.37
  6. Step 6: Final answer
    x = 9,985.91

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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.