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Finding the Fourth Proportional to 12,590.41, 18,884.81 and 3,825.40

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Solution

The fourth proportional to 12,590.41, 18,884.81 and 3,825.40 is: 5,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.41 : 18,884.81 = 3,825.40 : x
  2. Step 2: Convert to fraction form
    12,590.41/18,884.81 = 3,825.40/x
  3. Step 3: Cross multiply
    12,590.41x = 18,884.81 × 3,825.40
  4. Step 4: Simplify right side
    12,590.41x = 72,241,952.17
  5. Step 5: Solve for x
    x = 72,241,952.17/12,590.41
  6. Step 6: Final answer
    x = 5,737.86

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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.