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Finding the Fourth Proportional to 12,218, 18,295.98 and 10,238.42

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Solution

The fourth proportional to 12,218, 18,295.98 and 10,238.42 is: 15,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218 : 18,295.98 = 10,238.42 : x
  2. Step 2: Convert to fraction form
    12,218/18,295.98 = 10,238.42/x
  3. Step 3: Cross multiply
    12,218x = 18,295.98 × 10,238.42
  4. Step 4: Simplify right side
    12,218x = 187,321,927.55
  5. Step 5: Solve for x
    x = 187,321,927.55/12,218
  6. Step 6: Final answer
    x = 15,331.64

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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.