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Finding the Fourth Proportional to 20,232.04, 30,361.02 and 9,838.12

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Solution

The fourth proportional to 20,232.04, 30,361.02 and 9,838.12 is: 14,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.04 : 30,361.02 = 9,838.12 : x
  2. Step 2: Convert to fraction form
    20,232.04/30,361.02 = 9,838.12/x
  3. Step 3: Cross multiply
    20,232.04x = 30,361.02 × 9,838.12
  4. Step 4: Simplify right side
    20,232.04x = 298,695,358.08
  5. Step 5: Solve for x
    x = 298,695,358.08/20,232.04
  6. Step 6: Final answer
    x = 14,763.48

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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.