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Finding the Fourth Proportional to 19,744, 29,630.56 and 9,355.76

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Solution

The fourth proportional to 19,744, 29,630.56 and 9,355.76 is: 14,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 29,630.56 = 9,355.76 : x
  2. Step 2: Convert to fraction form
    19,744/29,630.56 = 9,355.76/x
  3. Step 3: Cross multiply
    19,744x = 29,630.56 × 9,355.76
  4. Step 4: Simplify right side
    19,744x = 277,216,408.03
  5. Step 5: Solve for x
    x = 277,216,408.03/19,744
  6. Step 6: Final answer
    x = 14,040.54

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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.