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Finding the Fourth Proportional to 19,604.50, 29,406.75 and 7,122.20

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Solution

The fourth proportional to 19,604.50, 29,406.75 and 7,122.20 is: 10,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.50 : 29,406.75 = 7,122.20 : x
  2. Step 2: Convert to fraction form
    19,604.50/29,406.75 = 7,122.20/x
  3. Step 3: Cross multiply
    19,604.50x = 29,406.75 × 7,122.20
  4. Step 4: Simplify right side
    19,604.50x = 209,440,581.11
  5. Step 5: Solve for x
    x = 209,440,581.11/19,604.50
  6. Step 6: Final answer
    x = 10,683.29

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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.