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Finding the Fourth Proportional to 11,405.69, 17,109.20 and 10,785.12

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Solution

The fourth proportional to 11,405.69, 17,109.20 and 10,785.12 is: 16,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.69 : 17,109.20 = 10,785.12 : x
  2. Step 2: Convert to fraction form
    11,405.69/17,109.20 = 10,785.12/x
  3. Step 3: Cross multiply
    11,405.69x = 17,109.20 × 10,785.12
  4. Step 4: Simplify right side
    11,405.69x = 184,524,775.10
  5. Step 5: Solve for x
    x = 184,524,775.10/11,405.69
  6. Step 6: Final answer
    x = 16,178.31

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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.