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Finding the Fourth Proportional to 11,614.08, 17,421.44 and 3,406.08

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Solution

The fourth proportional to 11,614.08, 17,421.44 and 3,406.08 is: 5,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.08 : 17,421.44 = 3,406.08 : x
  2. Step 2: Convert to fraction form
    11,614.08/17,421.44 = 3,406.08/x
  3. Step 3: Cross multiply
    11,614.08x = 17,421.44 × 3,406.08
  4. Step 4: Simplify right side
    11,614.08x = 59,338,818.36
  5. Step 5: Solve for x
    x = 59,338,818.36/11,614.08
  6. Step 6: Final answer
    x = 5,109.21

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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.