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Finding the Fourth Proportional to 25,203.52, 34,780.98 and 13,874.15

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Solution

The fourth proportional to 25,203.52, 34,780.98 and 13,874.15 is: 19,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.52 : 34,780.98 = 13,874.15 : x
  2. Step 2: Convert to fraction form
    25,203.52/34,780.98 = 13,874.15/x
  3. Step 3: Cross multiply
    25,203.52x = 34,780.98 × 13,874.15
  4. Step 4: Simplify right side
    25,203.52x = 482,556,290.39
  5. Step 5: Solve for x
    x = 482,556,290.39/25,203.52
  6. Step 6: Final answer
    x = 19,146.39

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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.