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Finding the Fourth Proportional to 17,855.72, 24,623.80 and 10,684.41

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Solution

The fourth proportional to 17,855.72, 24,623.80 and 10,684.41 is: 14,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.72 : 24,623.80 = 10,684.41 : x
  2. Step 2: Convert to fraction form
    17,855.72/24,623.80 = 10,684.41/x
  3. Step 3: Cross multiply
    17,855.72x = 24,623.80 × 10,684.41
  4. Step 4: Simplify right side
    17,855.72x = 263,090,655.91
  5. Step 5: Solve for x
    x = 263,090,655.91/17,855.72
  6. Step 6: Final answer
    x = 14,734.25

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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.