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Finding the Fourth Proportional to 12,825.50, 17,700 and 7,236.50

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Solution

The fourth proportional to 12,825.50, 17,700 and 7,236.50 is: 9,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.50 : 17,700 = 7,236.50 : x
  2. Step 2: Convert to fraction form
    12,825.50/17,700 = 7,236.50/x
  3. Step 3: Cross multiply
    12,825.50x = 17,700 × 7,236.50
  4. Step 4: Simplify right side
    12,825.50x = 128,086,050
  5. Step 5: Solve for x
    x = 128,086,050/12,825.50
  6. Step 6: Final answer
    x = 9,986.83

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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.