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Finding the Fourth Proportional to 14,351.96, 21,527.73 and 6,957.06

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Solution

The fourth proportional to 14,351.96, 21,527.73 and 6,957.06 is: 10,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.96 : 21,527.73 = 6,957.06 : x
  2. Step 2: Convert to fraction form
    14,351.96/21,527.73 = 6,957.06/x
  3. Step 3: Cross multiply
    14,351.96x = 21,527.73 × 6,957.06
  4. Step 4: Simplify right side
    14,351.96x = 149,769,709.27
  5. Step 5: Solve for x
    x = 149,769,709.27/14,351.96
  6. Step 6: Final answer
    x = 10,435.49

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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.