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Finding the Fourth Proportional to 16,855.86, 23,261.34 and 9,302.54

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Solution

The fourth proportional to 16,855.86, 23,261.34 and 9,302.54 is: 12,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.86 : 23,261.34 = 9,302.54 : x
  2. Step 2: Convert to fraction form
    16,855.86/23,261.34 = 9,302.54/x
  3. Step 3: Cross multiply
    16,855.86x = 23,261.34 × 9,302.54
  4. Step 4: Simplify right side
    16,855.86x = 216,389,545.80
  5. Step 5: Solve for x
    x = 216,389,545.80/16,855.86
  6. Step 6: Final answer
    x = 12,837.64

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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.