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Finding the Fourth Proportional to 25,977.82, 35,852.78 and 14,650.86

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Solution

The fourth proportional to 25,977.82, 35,852.78 and 14,650.86 is: 20,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977.82 : 35,852.78 = 14,650.86 : x
  2. Step 2: Convert to fraction form
    25,977.82/35,852.78 = 14,650.86/x
  3. Step 3: Cross multiply
    25,977.82x = 35,852.78 × 14,650.86
  4. Step 4: Simplify right side
    25,977.82x = 525,273,947.38
  5. Step 5: Solve for x
    x = 525,273,947.38/25,977.82
  6. Step 6: Final answer
    x = 20,220.09

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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.