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Finding the Fourth Proportional to 13,575.35, 20,366.21 and 4,214.88

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Solution

The fourth proportional to 13,575.35, 20,366.21 and 4,214.88 is: 6,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.35 : 20,366.21 = 4,214.88 : x
  2. Step 2: Convert to fraction form
    13,575.35/20,366.21 = 4,214.88/x
  3. Step 3: Cross multiply
    13,575.35x = 20,366.21 × 4,214.88
  4. Step 4: Simplify right side
    13,575.35x = 85,841,110.13
  5. Step 5: Solve for x
    x = 85,841,110.13/13,575.35
  6. Step 6: Final answer
    x = 6,323.31

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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.