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Finding the Fourth Proportional to 25,776.80, 38,677.60 and 12,622

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Solution

The fourth proportional to 25,776.80, 38,677.60 and 12,622 is: 18,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776.80 : 38,677.60 = 12,622 : x
  2. Step 2: Convert to fraction form
    25,776.80/38,677.60 = 12,622/x
  3. Step 3: Cross multiply
    25,776.80x = 38,677.60 × 12,622
  4. Step 4: Simplify right side
    25,776.80x = 488,188,667.20
  5. Step 5: Solve for x
    x = 488,188,667.20/25,776.80
  6. Step 6: Final answer
    x = 18,939.07

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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.