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Finding the Fourth Proportional to 20,629.50, 30,894.57 and 13,210.98

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Solution

The fourth proportional to 20,629.50, 30,894.57 and 13,210.98 is: 19,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,629.50 : 30,894.57 = 13,210.98 : x
  2. Step 2: Convert to fraction form
    20,629.50/30,894.57 = 13,210.98/x
  3. Step 3: Cross multiply
    20,629.50x = 30,894.57 × 13,210.98
  4. Step 4: Simplify right side
    20,629.50x = 408,147,546.38
  5. Step 5: Solve for x
    x = 408,147,546.38/20,629.50
  6. Step 6: Final answer
    x = 19,784.66

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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.