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Finding the Fourth Proportional to 12,590.50, 18,886.15 and 3,825.49

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Solution

The fourth proportional to 12,590.50, 18,886.15 and 3,825.49 is: 5,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.50 : 18,886.15 = 3,825.49 : x
  2. Step 2: Convert to fraction form
    12,590.50/18,886.15 = 3,825.49/x
  3. Step 3: Cross multiply
    12,590.50x = 18,886.15 × 3,825.49
  4. Step 4: Simplify right side
    12,590.50x = 72,248,777.96
  5. Step 5: Solve for x
    x = 72,248,777.96/12,590.50
  6. Step 6: Final answer
    x = 5,738.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.