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Finding the Fourth Proportional to 25,202.76, 34,779.94 and 13,873.38

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Solution

The fourth proportional to 25,202.76, 34,779.94 and 13,873.38 is: 19,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.76 : 34,779.94 = 13,873.38 : x
  2. Step 2: Convert to fraction form
    25,202.76/34,779.94 = 13,873.38/x
  3. Step 3: Cross multiply
    25,202.76x = 34,779.94 × 13,873.38
  4. Step 4: Simplify right side
    25,202.76x = 482,515,324.00
  5. Step 5: Solve for x
    x = 482,515,324.00/25,202.76
  6. Step 6: Final answer
    x = 19,145.34

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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.