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Finding the Fourth Proportional to 12,775.82, 17,630.46 and 7,469.60

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Solution

The fourth proportional to 12,775.82, 17,630.46 and 7,469.60 is: 10,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.82 : 17,630.46 = 7,469.60 : x
  2. Step 2: Convert to fraction form
    12,775.82/17,630.46 = 7,469.60/x
  3. Step 3: Cross multiply
    12,775.82x = 17,630.46 × 7,469.60
  4. Step 4: Simplify right side
    12,775.82x = 131,692,395.86
  5. Step 5: Solve for x
    x = 131,692,395.86/12,775.82
  6. Step 6: Final answer
    x = 10,307.94

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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.