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Finding the Fourth Proportional to 13,814.56, 20,713.20 and 9,192.16

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Solution

The fourth proportional to 13,814.56, 20,713.20 and 9,192.16 is: 13,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.56 : 20,713.20 = 9,192.16 : x
  2. Step 2: Convert to fraction form
    13,814.56/20,713.20 = 9,192.16/x
  3. Step 3: Cross multiply
    13,814.56x = 20,713.20 × 9,192.16
  4. Step 4: Simplify right side
    13,814.56x = 190,399,048.51
  5. Step 5: Solve for x
    x = 190,399,048.51/13,814.56
  6. Step 6: Final answer
    x = 13,782.49

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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.