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Finding the Fourth Proportional to 13,781.36, 20,657.45 and 6,763.52

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Solution

The fourth proportional to 13,781.36, 20,657.45 and 6,763.52 is: 10,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.36 : 20,657.45 = 6,763.52 : x
  2. Step 2: Convert to fraction form
    13,781.36/20,657.45 = 6,763.52/x
  3. Step 3: Cross multiply
    13,781.36x = 20,657.45 × 6,763.52
  4. Step 4: Simplify right side
    13,781.36x = 139,716,939.12
  5. Step 5: Solve for x
    x = 139,716,939.12/13,781.36
  6. Step 6: Final answer
    x = 10,138.11

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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.