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Finding the Fourth Proportional to 25,917.77, 35,769.98 and 14,589.49

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Solution

The fourth proportional to 25,917.77, 35,769.98 and 14,589.49 is: 20,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,917.77 : 35,769.98 = 14,589.49 : x
  2. Step 2: Convert to fraction form
    25,917.77/35,769.98 = 14,589.49/x
  3. Step 3: Cross multiply
    25,917.77x = 35,769.98 × 14,589.49
  4. Step 4: Simplify right side
    25,917.77x = 521,865,839.20
  5. Step 5: Solve for x
    x = 521,865,839.20/25,917.77
  6. Step 6: Final answer
    x = 20,135.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.