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Finding the Fourth Proportional to 13,669.68, 20,513.14 and 7,837.68

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Solution

The fourth proportional to 13,669.68, 20,513.14 and 7,837.68 is: 11,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.68 : 20,513.14 = 7,837.68 : x
  2. Step 2: Convert to fraction form
    13,669.68/20,513.14 = 7,837.68/x
  3. Step 3: Cross multiply
    13,669.68x = 20,513.14 × 7,837.68
  4. Step 4: Simplify right side
    13,669.68x = 160,775,427.12
  5. Step 5: Solve for x
    x = 160,775,427.12/13,669.68
  6. Step 6: Final answer
    x = 11,761.46

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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.