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Finding the Fourth Proportional to 17,855.42, 24,611.90 and 14,072.31

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Solution

The fourth proportional to 17,855.42, 24,611.90 and 14,072.31 is: 19,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.42 : 24,611.90 = 14,072.31 : x
  2. Step 2: Convert to fraction form
    17,855.42/24,611.90 = 14,072.31/x
  3. Step 3: Cross multiply
    17,855.42x = 24,611.90 × 14,072.31
  4. Step 4: Simplify right side
    17,855.42x = 346,346,216.13
  5. Step 5: Solve for x
    x = 346,346,216.13/17,855.42
  6. Step 6: Final answer
    x = 19,397.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.