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Finding the Fourth Proportional to 21,294.09, 31,946.90 and 8,146.89

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Solution

The fourth proportional to 21,294.09, 31,946.90 and 8,146.89 is: 12,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.09 : 31,946.90 = 8,146.89 : x
  2. Step 2: Convert to fraction form
    21,294.09/31,946.90 = 8,146.89/x
  3. Step 3: Cross multiply
    21,294.09x = 31,946.90 × 8,146.89
  4. Step 4: Simplify right side
    21,294.09x = 260,267,839.41
  5. Step 5: Solve for x
    x = 260,267,839.41/21,294.09
  6. Step 6: Final answer
    x = 12,222.54

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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.