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Finding the Fourth Proportional to 25,671.14, 38,508.08 and 8,142.33

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Solution

The fourth proportional to 25,671.14, 38,508.08 and 8,142.33 is: 12,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,671.14 : 38,508.08 = 8,142.33 : x
  2. Step 2: Convert to fraction form
    25,671.14/38,508.08 = 8,142.33/x
  3. Step 3: Cross multiply
    25,671.14x = 38,508.08 × 8,142.33
  4. Step 4: Simplify right side
    25,671.14x = 313,545,495.03
  5. Step 5: Solve for x
    x = 313,545,495.03/25,671.14
  6. Step 6: Final answer
    x = 12,213.93

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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.