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Finding the Fourth Proportional to 14,769.75, 20,384.01 and 8,397.31

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Solution

The fourth proportional to 14,769.75, 20,384.01 and 8,397.31 is: 11,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.75 : 20,384.01 = 8,397.31 : x
  2. Step 2: Convert to fraction form
    14,769.75/20,384.01 = 8,397.31/x
  3. Step 3: Cross multiply
    14,769.75x = 20,384.01 × 8,397.31
  4. Step 4: Simplify right side
    14,769.75x = 171,170,772.51
  5. Step 5: Solve for x
    x = 171,170,772.51/14,769.75
  6. Step 6: Final answer
    x = 11,589.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.