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Finding the Fourth Proportional to 12,381.68, 18,556.04 and 10,730.54

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Solution

The fourth proportional to 12,381.68, 18,556.04 and 10,730.54 is: 16,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.68 : 18,556.04 = 10,730.54 : x
  2. Step 2: Convert to fraction form
    12,381.68/18,556.04 = 10,730.54/x
  3. Step 3: Cross multiply
    12,381.68x = 18,556.04 × 10,730.54
  4. Step 4: Simplify right side
    12,381.68x = 199,116,329.46
  5. Step 5: Solve for x
    x = 199,116,329.46/12,381.68
  6. Step 6: Final answer
    x = 16,081.53

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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.