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Finding the Fourth Proportional to 28,930.74, 43,390 and 8,149.38

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Solution

The fourth proportional to 28,930.74, 43,390 and 8,149.38 is: 12,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,930.74 : 43,390 = 8,149.38 : x
  2. Step 2: Convert to fraction form
    28,930.74/43,390 = 8,149.38/x
  3. Step 3: Cross multiply
    28,930.74x = 43,390 × 8,149.38
  4. Step 4: Simplify right side
    28,930.74x = 353,601,598.20
  5. Step 5: Solve for x
    x = 353,601,598.20/28,930.74
  6. Step 6: Final answer
    x = 12,222.35

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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.