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Finding the Fourth Proportional to 25,405.19, 35,059.19 and 14,227.19

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Solution

The fourth proportional to 25,405.19, 35,059.19 and 14,227.19 is: 19,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,405.19 : 35,059.19 = 14,227.19 : x
  2. Step 2: Convert to fraction form
    25,405.19/35,059.19 = 14,227.19/x
  3. Step 3: Cross multiply
    25,405.19x = 35,059.19 × 14,227.19
  4. Step 4: Simplify right side
    25,405.19x = 498,793,757.38
  5. Step 5: Solve for x
    x = 498,793,757.38/25,405.19
  6. Step 6: Final answer
    x = 19,633.54

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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.