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Finding the Fourth Proportional to 25,602.66, 38,410.83 and 8,072.82

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Solution

The fourth proportional to 25,602.66, 38,410.83 and 8,072.82 is: 12,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.66 : 38,410.83 = 8,072.82 : x
  2. Step 2: Convert to fraction form
    25,602.66/38,410.83 = 8,072.82/x
  3. Step 3: Cross multiply
    25,602.66x = 38,410.83 × 8,072.82
  4. Step 4: Simplify right side
    25,602.66x = 310,083,716.64
  5. Step 5: Solve for x
    x = 310,083,716.64/25,602.66
  6. Step 6: Final answer
    x = 12,111.39

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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.