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Finding the Fourth Proportional to 14,972.44, 20,662.06 and 8,258.24

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Solution

The fourth proportional to 14,972.44, 20,662.06 and 8,258.24 is: 11,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.44 : 20,662.06 = 8,258.24 : x
  2. Step 2: Convert to fraction form
    14,972.44/20,662.06 = 8,258.24/x
  3. Step 3: Cross multiply
    14,972.44x = 20,662.06 × 8,258.24
  4. Step 4: Simplify right side
    14,972.44x = 170,632,281.38
  5. Step 5: Solve for x
    x = 170,632,281.38/14,972.44
  6. Step 6: Final answer
    x = 11,396.43

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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.