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Finding the Fourth Proportional to 12,866.70, 17,757.28 and 9,284.60

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Solution

The fourth proportional to 12,866.70, 17,757.28 and 9,284.60 is: 12,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.70 : 17,757.28 = 9,284.60 : x
  2. Step 2: Convert to fraction form
    12,866.70/17,757.28 = 9,284.60/x
  3. Step 3: Cross multiply
    12,866.70x = 17,757.28 × 9,284.60
  4. Step 4: Simplify right side
    12,866.70x = 164,869,241.89
  5. Step 5: Solve for x
    x = 164,869,241.89/12,866.70
  6. Step 6: Final answer
    x = 12,813.64

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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.