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Finding the Fourth Proportional to 25,997.50, 35,878.21 and 14,662.86

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Solution

The fourth proportional to 25,997.50, 35,878.21 and 14,662.86 is: 20,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.50 : 35,878.21 = 14,662.86 : x
  2. Step 2: Convert to fraction form
    25,997.50/35,878.21 = 14,662.86/x
  3. Step 3: Cross multiply
    25,997.50x = 35,878.21 × 14,662.86
  4. Step 4: Simplify right side
    25,997.50x = 526,077,170.28
  5. Step 5: Solve for x
    x = 526,077,170.28/25,997.50
  6. Step 6: Final answer
    x = 20,235.68

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1.5x scale

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.