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Finding the Fourth Proportional to 13,739.68, 18,957.61 and 7,770.05

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Solution

The fourth proportional to 13,739.68, 18,957.61 and 7,770.05 is: 10,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.68 : 18,957.61 = 7,770.05 : x
  2. Step 2: Convert to fraction form
    13,739.68/18,957.61 = 7,770.05/x
  3. Step 3: Cross multiply
    13,739.68x = 18,957.61 × 7,770.05
  4. Step 4: Simplify right side
    13,739.68x = 147,301,577.58
  5. Step 5: Solve for x
    x = 147,301,577.58/13,739.68
  6. Step 6: Final answer
    x = 10,720.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.