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Finding the Fourth Proportional to 25,511.86, 35,206.33 and 14,181

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Solution

The fourth proportional to 25,511.86, 35,206.33 and 14,181 is: 19,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,511.86 : 35,206.33 = 14,181 : x
  2. Step 2: Convert to fraction form
    25,511.86/35,206.33 = 14,181/x
  3. Step 3: Cross multiply
    25,511.86x = 35,206.33 × 14,181
  4. Step 4: Simplify right side
    25,511.86x = 499,260,965.73
  5. Step 5: Solve for x
    x = 499,260,965.73/25,511.86
  6. Step 6: Final answer
    x = 19,569.76

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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.