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Finding the Fourth Proportional to 12,123, 18,185.31 and 5,197.50

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Solution

The fourth proportional to 12,123, 18,185.31 and 5,197.50 is: 7,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123 : 18,185.31 = 5,197.50 : x
  2. Step 2: Convert to fraction form
    12,123/18,185.31 = 5,197.50/x
  3. Step 3: Cross multiply
    12,123x = 18,185.31 × 5,197.50
  4. Step 4: Simplify right side
    12,123x = 94,518,148.73
  5. Step 5: Solve for x
    x = 94,518,148.73/12,123
  6. Step 6: Final answer
    x = 7,796.60

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Why These Related Problems?

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