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Finding the Fourth Proportional to 12,946.50, 19,431.90 and 5,930.28

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Solution

The fourth proportional to 12,946.50, 19,431.90 and 5,930.28 is: 8,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.50 : 19,431.90 = 5,930.28 : x
  2. Step 2: Convert to fraction form
    12,946.50/19,431.90 = 5,930.28/x
  3. Step 3: Cross multiply
    12,946.50x = 19,431.90 × 5,930.28
  4. Step 4: Simplify right side
    12,946.50x = 115,236,607.93
  5. Step 5: Solve for x
    x = 115,236,607.93/12,946.50
  6. Step 6: Final answer
    x = 8,900.99

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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.