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Finding the Fourth Proportional to 19,626.56, 29,414.88 and 9,224

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Solution

The fourth proportional to 19,626.56, 29,414.88 and 9,224 is: 13,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,626.56 : 29,414.88 = 9,224 : x
  2. Step 2: Convert to fraction form
    19,626.56/29,414.88 = 9,224/x
  3. Step 3: Cross multiply
    19,626.56x = 29,414.88 × 9,224
  4. Step 4: Simplify right side
    19,626.56x = 271,322,853.12
  5. Step 5: Solve for x
    x = 271,322,853.12/19,626.56
  6. Step 6: Final answer
    x = 13,824.27

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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.