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Finding the Fourth Proportional to 12,175.90, 18,263.74 and 3,855.93

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Solution

The fourth proportional to 12,175.90, 18,263.74 and 3,855.93 is: 5,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.90 : 18,263.74 = 3,855.93 : x
  2. Step 2: Convert to fraction form
    12,175.90/18,263.74 = 3,855.93/x
  3. Step 3: Cross multiply
    12,175.90x = 18,263.74 × 3,855.93
  4. Step 4: Simplify right side
    12,175.90x = 70,423,702.98
  5. Step 5: Solve for x
    x = 70,423,702.98/12,175.90
  6. Step 6: Final answer
    x = 5,783.86

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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.