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Finding the Fourth Proportional to 14,489.28, 21,738.08 and 4,630.08

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Solution

The fourth proportional to 14,489.28, 21,738.08 and 4,630.08 is: 6,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.28 : 21,738.08 = 4,630.08 : x
  2. Step 2: Convert to fraction form
    14,489.28/21,738.08 = 4,630.08/x
  3. Step 3: Cross multiply
    14,489.28x = 21,738.08 × 4,630.08
  4. Step 4: Simplify right side
    14,489.28x = 100,649,049.45
  5. Step 5: Solve for x
    x = 100,649,049.45/14,489.28
  6. Step 6: Final answer
    x = 6,946.45

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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.