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Finding the Fourth Proportional to 25,077, 34,606.26 and 13,899

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Solution

The fourth proportional to 25,077, 34,606.26 and 13,899 is: 19,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077 : 34,606.26 = 13,899 : x
  2. Step 2: Convert to fraction form
    25,077/34,606.26 = 13,899/x
  3. Step 3: Cross multiply
    25,077x = 34,606.26 × 13,899
  4. Step 4: Simplify right side
    25,077x = 480,992,407.74
  5. Step 5: Solve for x
    x = 480,992,407.74/25,077
  6. Step 6: Final answer
    x = 19,180.62

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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.