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Finding the Fourth Proportional to 12,590.80, 18,886.62 and 3,825.70

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Solution

The fourth proportional to 12,590.80, 18,886.62 and 3,825.70 is: 5,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.80 : 18,886.62 = 3,825.70 : x
  2. Step 2: Convert to fraction form
    12,590.80/18,886.62 = 3,825.70/x
  3. Step 3: Cross multiply
    12,590.80x = 18,886.62 × 3,825.70
  4. Step 4: Simplify right side
    12,590.80x = 72,254,542.13
  5. Step 5: Solve for x
    x = 72,254,542.13/12,590.80
  6. Step 6: Final answer
    x = 5,738.68

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