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Finding the Fourth Proportional to 12,123.95, 16,739.33 and 9,286.31

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Solution

The fourth proportional to 12,123.95, 16,739.33 and 9,286.31 is: 12,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.95 : 16,739.33 = 9,286.31 : x
  2. Step 2: Convert to fraction form
    12,123.95/16,739.33 = 9,286.31/x
  3. Step 3: Cross multiply
    12,123.95x = 16,739.33 × 9,286.31
  4. Step 4: Simplify right side
    12,123.95x = 155,446,602.99
  5. Step 5: Solve for x
    x = 155,446,602.99/12,123.95
  6. Step 6: Final answer
    x = 12,821.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.