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Finding the Fourth Proportional to 23,731.42, 35,602.58 and 8,149

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Solution

The fourth proportional to 23,731.42, 35,602.58 and 8,149 is: 12,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.42 : 35,602.58 = 8,149 : x
  2. Step 2: Convert to fraction form
    23,731.42/35,602.58 = 8,149/x
  3. Step 3: Cross multiply
    23,731.42x = 35,602.58 × 8,149
  4. Step 4: Simplify right side
    23,731.42x = 290,125,424.42
  5. Step 5: Solve for x
    x = 290,125,424.42/23,731.42
  6. Step 6: Final answer
    x = 12,225.37

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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.