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Finding the Fourth Proportional to 25,957, 35,820.70 and 14,779

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Solution

The fourth proportional to 25,957, 35,820.70 and 14,779 is: 20,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,957 : 35,820.70 = 14,779 : x
  2. Step 2: Convert to fraction form
    25,957/35,820.70 = 14,779/x
  3. Step 3: Cross multiply
    25,957x = 35,820.70 × 14,779
  4. Step 4: Simplify right side
    25,957x = 529,394,125.30
  5. Step 5: Solve for x
    x = 529,394,125.30/25,957
  6. Step 6: Final answer
    x = 20,395.04

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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.