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Finding the Fourth Proportional to 12,175.61, 18,261.81 and 3,855.69

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Solution

The fourth proportional to 12,175.61, 18,261.81 and 3,855.69 is: 5,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.61 : 18,261.81 = 3,855.69 : x
  2. Step 2: Convert to fraction form
    12,175.61/18,261.81 = 3,855.69/x
  3. Step 3: Cross multiply
    12,175.61x = 18,261.81 × 3,855.69
  4. Step 4: Simplify right side
    12,175.61x = 70,411,878.20
  5. Step 5: Solve for x
    x = 70,411,878.20/12,175.61
  6. Step 6: Final answer
    x = 5,783.03

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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.