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Finding the Fourth Proportional to 13,634.43, 20,444.20 and 9,192.08

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Solution

The fourth proportional to 13,634.43, 20,444.20 and 9,192.08 is: 13,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.43 : 20,444.20 = 9,192.08 : x
  2. Step 2: Convert to fraction form
    13,634.43/20,444.20 = 9,192.08/x
  3. Step 3: Cross multiply
    13,634.43x = 20,444.20 × 9,192.08
  4. Step 4: Simplify right side
    13,634.43x = 187,924,750.07
  5. Step 5: Solve for x
    x = 187,924,750.07/13,634.43
  6. Step 6: Final answer
    x = 13,783.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.