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Finding the Fourth Proportional to 19,604.70, 29,421.84 and 9,082.10

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Solution

The fourth proportional to 19,604.70, 29,421.84 and 9,082.10 is: 13,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.70 : 29,421.84 = 9,082.10 : x
  2. Step 2: Convert to fraction form
    19,604.70/29,421.84 = 9,082.10/x
  3. Step 3: Cross multiply
    19,604.70x = 29,421.84 × 9,082.10
  4. Step 4: Simplify right side
    19,604.70x = 267,212,200.68
  5. Step 5: Solve for x
    x = 267,212,200.68/19,604.70
  6. Step 6: Final answer
    x = 13,630.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.