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Finding the Fourth Proportional to 25,285.77, 37,928.66 and 8,645.96

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Solution

The fourth proportional to 25,285.77, 37,928.66 and 8,645.96 is: 12,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,285.77 : 37,928.66 = 8,645.96 : x
  2. Step 2: Convert to fraction form
    25,285.77/37,928.66 = 8,645.96/x
  3. Step 3: Cross multiply
    25,285.77x = 37,928.66 × 8,645.96
  4. Step 4: Simplify right side
    25,285.77x = 327,929,487.57
  5. Step 5: Solve for x
    x = 327,929,487.57/25,285.77
  6. Step 6: Final answer
    x = 12,968.94

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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.