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Finding the Fourth Proportional to 25,003, 34,504.16 and 13,825

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Solution

The fourth proportional to 25,003, 34,504.16 and 13,825 is: 19,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,003 : 34,504.16 = 13,825 : x
  2. Step 2: Convert to fraction form
    25,003/34,504.16 = 13,825/x
  3. Step 3: Cross multiply
    25,003x = 34,504.16 × 13,825
  4. Step 4: Simplify right side
    25,003x = 477,020,012.00
  5. Step 5: Solve for x
    x = 477,020,012.00/25,003
  6. Step 6: Final answer
    x = 19,078.51

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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.