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Finding the Fourth Proportional to 25,414, 35,071.33 and 14,236

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Solution

The fourth proportional to 25,414, 35,071.33 and 14,236 is: 19,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414 : 35,071.33 = 14,236 : x
  2. Step 2: Convert to fraction form
    25,414/35,071.33 = 14,236/x
  3. Step 3: Cross multiply
    25,414x = 35,071.33 × 14,236
  4. Step 4: Simplify right side
    25,414x = 499,275,453.88
  5. Step 5: Solve for x
    x = 499,275,453.88/25,414
  6. Step 6: Final answer
    x = 19,645.69

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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.