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Finding the Fourth Proportional to 12,282, 18,415.80 and 8,338.20

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Solution

The fourth proportional to 12,282, 18,415.80 and 8,338.20 is: 12,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282 : 18,415.80 = 8,338.20 : x
  2. Step 2: Convert to fraction form
    12,282/18,415.80 = 8,338.20/x
  3. Step 3: Cross multiply
    12,282x = 18,415.80 × 8,338.20
  4. Step 4: Simplify right side
    12,282x = 153,554,623.56
  5. Step 5: Solve for x
    x = 153,554,623.56/12,282
  6. Step 6: Final answer
    x = 12,502.41

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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.