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Finding the Fourth Proportional to 14,082.62, 19,433.72 and 7,709.05

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Solution

The fourth proportional to 14,082.62, 19,433.72 and 7,709.05 is: 10,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.62 : 19,433.72 = 7,709.05 : x
  2. Step 2: Convert to fraction form
    14,082.62/19,433.72 = 7,709.05/x
  3. Step 3: Cross multiply
    14,082.62x = 19,433.72 × 7,709.05
  4. Step 4: Simplify right side
    14,082.62x = 149,815,383.45
  5. Step 5: Solve for x
    x = 149,815,383.45/14,082.62
  6. Step 6: Final answer
    x = 10,638.32

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Why These Related Problems?

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