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Finding the Fourth Proportional to 12,817, 17,687.46 and 7,228.36

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Solution

The fourth proportional to 12,817, 17,687.46 and 7,228.36 is: 9,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817 : 17,687.46 = 7,228.36 : x
  2. Step 2: Convert to fraction form
    12,817/17,687.46 = 7,228.36/x
  3. Step 3: Cross multiply
    12,817x = 17,687.46 × 7,228.36
  4. Step 4: Simplify right side
    12,817x = 127,851,328.37
  5. Step 5: Solve for x
    x = 127,851,328.37/12,817
  6. Step 6: Final answer
    x = 9,975.14

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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.