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Finding the Fourth Proportional to 12,946.77, 17,865.60 and 7,282.44

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Solution

The fourth proportional to 12,946.77, 17,865.60 and 7,282.44 is: 10,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.77 : 17,865.60 = 7,282.44 : x
  2. Step 2: Convert to fraction form
    12,946.77/17,865.60 = 7,282.44/x
  3. Step 3: Cross multiply
    12,946.77x = 17,865.60 × 7,282.44
  4. Step 4: Simplify right side
    12,946.77x = 130,105,132.75
  5. Step 5: Solve for x
    x = 130,105,132.75/12,946.77
  6. Step 6: Final answer
    x = 10,049.23

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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.