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Finding the Fourth Proportional to 20,485.40, 30,728.10 and 10,643.90

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Solution

The fourth proportional to 20,485.40, 30,728.10 and 10,643.90 is: 15,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.40 : 30,728.10 = 10,643.90 : x
  2. Step 2: Convert to fraction form
    20,485.40/30,728.10 = 10,643.90/x
  3. Step 3: Cross multiply
    20,485.40x = 30,728.10 × 10,643.90
  4. Step 4: Simplify right side
    20,485.40x = 327,066,823.59
  5. Step 5: Solve for x
    x = 327,066,823.59/20,485.40
  6. Step 6: Final answer
    x = 15,965.85

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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.