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Finding the Fourth Proportional to 12,283.40, 18,400.80 and 6,726.80

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Solution

The fourth proportional to 12,283.40, 18,400.80 and 6,726.80 is: 10,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.40 : 18,400.80 = 6,726.80 : x
  2. Step 2: Convert to fraction form
    12,283.40/18,400.80 = 6,726.80/x
  3. Step 3: Cross multiply
    12,283.40x = 18,400.80 × 6,726.80
  4. Step 4: Simplify right side
    12,283.40x = 123,778,501.44
  5. Step 5: Solve for x
    x = 123,778,501.44/12,283.40
  6. Step 6: Final answer
    x = 10,076.89

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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.