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Finding the Fourth Proportional to 13,837.68, 20,755.80 and 4,477.55

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Solution

The fourth proportional to 13,837.68, 20,755.80 and 4,477.55 is: 6,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.68 : 20,755.80 = 4,477.55 : x
  2. Step 2: Convert to fraction form
    13,837.68/20,755.80 = 4,477.55/x
  3. Step 3: Cross multiply
    13,837.68x = 20,755.80 × 4,477.55
  4. Step 4: Simplify right side
    13,837.68x = 92,935,028.51
  5. Step 5: Solve for x
    x = 92,935,028.51/13,837.68
  6. Step 6: Final answer
    x = 6,716.08

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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.