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Finding the Fourth Proportional to 12,197.52, 18,306 and 4,805.46

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Solution

The fourth proportional to 12,197.52, 18,306 and 4,805.46 is: 7,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.52 : 18,306 = 4,805.46 : x
  2. Step 2: Convert to fraction form
    12,197.52/18,306 = 4,805.46/x
  3. Step 3: Cross multiply
    12,197.52x = 18,306 × 4,805.46
  4. Step 4: Simplify right side
    12,197.52x = 87,968,750.76
  5. Step 5: Solve for x
    x = 87,968,750.76/12,197.52
  6. Step 6: Final answer
    x = 7,212.02

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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.