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Finding the Fourth Proportional to 35,584.80, 53,318.56 and 12,198.40

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Solution

The fourth proportional to 35,584.80, 53,318.56 and 12,198.40 is: 18,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584.80 : 53,318.56 = 12,198.40 : x
  2. Step 2: Convert to fraction form
    35,584.80/53,318.56 = 12,198.40/x
  3. Step 3: Cross multiply
    35,584.80x = 53,318.56 × 12,198.40
  4. Step 4: Simplify right side
    35,584.80x = 650,401,122.30
  5. Step 5: Solve for x
    x = 650,401,122.30/35,584.80
  6. Step 6: Final answer
    x = 18,277.50

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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.