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Finding the Fourth Proportional to 13,473.64, 20,209.96 and 4,113.28

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Solution

The fourth proportional to 13,473.64, 20,209.96 and 4,113.28 is: 6,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.64 : 20,209.96 = 4,113.28 : x
  2. Step 2: Convert to fraction form
    13,473.64/20,209.96 = 4,113.28/x
  3. Step 3: Cross multiply
    13,473.64x = 20,209.96 × 4,113.28
  4. Step 4: Simplify right side
    13,473.64x = 83,129,224.27
  5. Step 5: Solve for x
    x = 83,129,224.27/13,473.64
  6. Step 6: Final answer
    x = 6,169.77

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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.