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Finding the Fourth Proportional to 13,575.96, 20,365.20 and 4,216.08

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Solution

The fourth proportional to 13,575.96, 20,365.20 and 4,216.08 is: 6,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.96 : 20,365.20 = 4,216.08 : x
  2. Step 2: Convert to fraction form
    13,575.96/20,365.20 = 4,216.08/x
  3. Step 3: Cross multiply
    13,575.96x = 20,365.20 × 4,216.08
  4. Step 4: Simplify right side
    13,575.96x = 85,861,312.42
  5. Step 5: Solve for x
    x = 85,861,312.42/13,575.96
  6. Step 6: Final answer
    x = 6,324.51

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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.