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Finding the Fourth Proportional to 14,470.34, 19,964.66 and 8,096.27

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Solution

The fourth proportional to 14,470.34, 19,964.66 and 8,096.27 is: 11,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.34 : 19,964.66 = 8,096.27 : x
  2. Step 2: Convert to fraction form
    14,470.34/19,964.66 = 8,096.27/x
  3. Step 3: Cross multiply
    14,470.34x = 19,964.66 × 8,096.27
  4. Step 4: Simplify right side
    14,470.34x = 161,639,137.51
  5. Step 5: Solve for x
    x = 161,639,137.51/14,470.34
  6. Step 6: Final answer
    x = 11,170.38

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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.