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Finding the Fourth Proportional to 21,098.89, 31,655.27 and 8,629.41

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Solution

The fourth proportional to 21,098.89, 31,655.27 and 8,629.41 is: 12,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.89 : 31,655.27 = 8,629.41 : x
  2. Step 2: Convert to fraction form
    21,098.89/31,655.27 = 8,629.41/x
  3. Step 3: Cross multiply
    21,098.89x = 31,655.27 × 8,629.41
  4. Step 4: Simplify right side
    21,098.89x = 273,166,102.07
  5. Step 5: Solve for x
    x = 273,166,102.07/21,098.89
  6. Step 6: Final answer
    x = 12,946.94

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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.