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Finding the Fourth Proportional to 13,451.52, 18,561.96 and 7,785.12

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Solution

The fourth proportional to 13,451.52, 18,561.96 and 7,785.12 is: 10,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.52 : 18,561.96 = 7,785.12 : x
  2. Step 2: Convert to fraction form
    13,451.52/18,561.96 = 7,785.12/x
  3. Step 3: Cross multiply
    13,451.52x = 18,561.96 × 7,785.12
  4. Step 4: Simplify right side
    13,451.52x = 144,507,086.04
  5. Step 5: Solve for x
    x = 144,507,086.04/13,451.52
  6. Step 6: Final answer
    x = 10,742.81

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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.