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Finding the Fourth Proportional to 14,476.28, 19,976.88 and 8,506.56

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Solution

The fourth proportional to 14,476.28, 19,976.88 and 8,506.56 is: 11,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.28 : 19,976.88 = 8,506.56 : x
  2. Step 2: Convert to fraction form
    14,476.28/19,976.88 = 8,506.56/x
  3. Step 3: Cross multiply
    14,476.28x = 19,976.88 × 8,506.56
  4. Step 4: Simplify right side
    14,476.28x = 169,934,528.33
  5. Step 5: Solve for x
    x = 169,934,528.33/14,476.28
  6. Step 6: Final answer
    x = 11,738.83

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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.