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Finding the Fourth Proportional to 25,805, 35,618.50 and 16,853.88

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Solution

The fourth proportional to 25,805, 35,618.50 and 16,853.88 is: 23,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805 : 35,618.50 = 16,853.88 : x
  2. Step 2: Convert to fraction form
    25,805/35,618.50 = 16,853.88/x
  3. Step 3: Cross multiply
    25,805x = 35,618.50 × 16,853.88
  4. Step 4: Simplify right side
    25,805x = 600,309,924.78
  5. Step 5: Solve for x
    x = 600,309,924.78/25,805
  6. Step 6: Final answer
    x = 23,263.32

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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.