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Finding the Fourth Proportional to 13,477.69, 20,213.75 and 3,614.63

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Solution

The fourth proportional to 13,477.69, 20,213.75 and 3,614.63 is: 5,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.69 : 20,213.75 = 3,614.63 : x
  2. Step 2: Convert to fraction form
    13,477.69/20,213.75 = 3,614.63/x
  3. Step 3: Cross multiply
    13,477.69x = 20,213.75 × 3,614.63
  4. Step 4: Simplify right side
    13,477.69x = 73,065,135.13
  5. Step 5: Solve for x
    x = 73,065,135.13/13,477.69
  6. Step 6: Final answer
    x = 5,421.19

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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.