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Finding the Fourth Proportional to 21,198.70, 31,810.20 and 14,629.60

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Solution

The fourth proportional to 21,198.70, 31,810.20 and 14,629.60 is: 21,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.70 : 31,810.20 = 14,629.60 : x
  2. Step 2: Convert to fraction form
    21,198.70/31,810.20 = 14,629.60/x
  3. Step 3: Cross multiply
    21,198.70x = 31,810.20 × 14,629.60
  4. Step 4: Simplify right side
    21,198.70x = 465,370,501.92
  5. Step 5: Solve for x
    x = 465,370,501.92/21,198.70
  6. Step 6: Final answer
    x = 21,952.78

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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.