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Finding the Fourth Proportional to 25,072.25, 37,625.66 and 8,656.25

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Solution

The fourth proportional to 25,072.25, 37,625.66 and 8,656.25 is: 12,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072.25 : 37,625.66 = 8,656.25 : x
  2. Step 2: Convert to fraction form
    25,072.25/37,625.66 = 8,656.25/x
  3. Step 3: Cross multiply
    25,072.25x = 37,625.66 × 8,656.25
  4. Step 4: Simplify right side
    25,072.25x = 325,697,076.09
  5. Step 5: Solve for x
    x = 325,697,076.09/25,072.25
  6. Step 6: Final answer
    x = 12,990.34

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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.