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Finding the Fourth Proportional to 13,781.21, 20,657.30 and 6,390.63

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Solution

The fourth proportional to 13,781.21, 20,657.30 and 6,390.63 is: 9,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.21 : 20,657.30 = 6,390.63 : x
  2. Step 2: Convert to fraction form
    13,781.21/20,657.30 = 6,390.63/x
  3. Step 3: Cross multiply
    13,781.21x = 20,657.30 × 6,390.63
  4. Step 4: Simplify right side
    13,781.21x = 132,013,129.15
  5. Step 5: Solve for x
    x = 132,013,129.15/13,781.21
  6. Step 6: Final answer
    x = 9,579.22

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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.