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Finding the Fourth Proportional to 25,701.38, 35,464.78 and 14,214.74

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Solution

The fourth proportional to 25,701.38, 35,464.78 and 14,214.74 is: 19,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.38 : 35,464.78 = 14,214.74 : x
  2. Step 2: Convert to fraction form
    25,701.38/35,464.78 = 14,214.74/x
  3. Step 3: Cross multiply
    25,701.38x = 35,464.78 × 14,214.74
  4. Step 4: Simplify right side
    25,701.38x = 504,122,467.30
  5. Step 5: Solve for x
    x = 504,122,467.30/25,701.38
  6. Step 6: Final answer
    x = 19,614.61

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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.