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Finding the Fourth Proportional to 12,082.40, 16,674.56 and 7,047.84

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Solution

The fourth proportional to 12,082.40, 16,674.56 and 7,047.84 is: 9,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.40 : 16,674.56 = 7,047.84 : x
  2. Step 2: Convert to fraction form
    12,082.40/16,674.56 = 7,047.84/x
  3. Step 3: Cross multiply
    12,082.40x = 16,674.56 × 7,047.84
  4. Step 4: Simplify right side
    12,082.40x = 117,519,630.95
  5. Step 5: Solve for x
    x = 117,519,630.95/12,082.40
  6. Step 6: Final answer
    x = 9,726.51

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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.