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Finding the Fourth Proportional to 25,275, 34,879.50 and 14,097

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Solution

The fourth proportional to 25,275, 34,879.50 and 14,097 is: 19,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275 : 34,879.50 = 14,097 : x
  2. Step 2: Convert to fraction form
    25,275/34,879.50 = 14,097/x
  3. Step 3: Cross multiply
    25,275x = 34,879.50 × 14,097
  4. Step 4: Simplify right side
    25,275x = 491,696,311.50
  5. Step 5: Solve for x
    x = 491,696,311.50/25,275
  6. Step 6: Final answer
    x = 19,453.86

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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.