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Finding the Fourth Proportional to 25,777.80, 38,679.10 and 12,623

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Solution

The fourth proportional to 25,777.80, 38,679.10 and 12,623 is: 18,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.80 : 38,679.10 = 12,623 : x
  2. Step 2: Convert to fraction form
    25,777.80/38,679.10 = 12,623/x
  3. Step 3: Cross multiply
    25,777.80x = 38,679.10 × 12,623
  4. Step 4: Simplify right side
    25,777.80x = 488,246,279.30
  5. Step 5: Solve for x
    x = 488,246,279.30/25,777.80
  6. Step 6: Final answer
    x = 18,940.57

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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.