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Finding the Fourth Proportional to 14,082.12, 19,433.02 and 7,708.55

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Solution

The fourth proportional to 14,082.12, 19,433.02 and 7,708.55 is: 10,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.12 : 19,433.02 = 7,708.55 : x
  2. Step 2: Convert to fraction form
    14,082.12/19,433.02 = 7,708.55/x
  3. Step 3: Cross multiply
    14,082.12x = 19,433.02 × 7,708.55
  4. Step 4: Simplify right side
    14,082.12x = 149,800,406.32
  5. Step 5: Solve for x
    x = 149,800,406.32/14,082.12
  6. Step 6: Final answer
    x = 10,637.63

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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.