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Finding the Fourth Proportional to 13,580.33, 20,363.20 and 4,216.32

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Solution

The fourth proportional to 13,580.33, 20,363.20 and 4,216.32 is: 6,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.33 : 20,363.20 = 4,216.32 : x
  2. Step 2: Convert to fraction form
    13,580.33/20,363.20 = 4,216.32/x
  3. Step 3: Cross multiply
    13,580.33x = 20,363.20 × 4,216.32
  4. Step 4: Simplify right side
    13,580.33x = 85,857,756.88
  5. Step 5: Solve for x
    x = 85,857,756.88/13,580.33
  6. Step 6: Final answer
    x = 6,322.22

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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.