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Finding the Fourth Proportional to 12,272.02, 18,393.64 and 5,250

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Solution

The fourth proportional to 12,272.02, 18,393.64 and 5,250 is: 7,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.02 : 18,393.64 = 5,250 : x
  2. Step 2: Convert to fraction form
    12,272.02/18,393.64 = 5,250/x
  3. Step 3: Cross multiply
    12,272.02x = 18,393.64 × 5,250
  4. Step 4: Simplify right side
    12,272.02x = 96,566,610
  5. Step 5: Solve for x
    x = 96,566,610/12,272.02
  6. Step 6: Final answer
    x = 7,868.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.