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Finding the Fourth Proportional to 25,511.85, 35,209.50 and 15,443.82

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Solution

The fourth proportional to 25,511.85, 35,209.50 and 15,443.82 is: 21,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,511.85 : 35,209.50 = 15,443.82 : x
  2. Step 2: Convert to fraction form
    25,511.85/35,209.50 = 15,443.82/x
  3. Step 3: Cross multiply
    25,511.85x = 35,209.50 × 15,443.82
  4. Step 4: Simplify right side
    25,511.85x = 543,769,180.29
  5. Step 5: Solve for x
    x = 543,769,180.29/25,511.85
  6. Step 6: Final answer
    x = 21,314.38

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Why These Related Problems?

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