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Finding the Fourth Proportional to 13,414.51, 18,507.32 and 7,749.10

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Solution

The fourth proportional to 13,414.51, 18,507.32 and 7,749.10 is: 10,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.51 : 18,507.32 = 7,749.10 : x
  2. Step 2: Convert to fraction form
    13,414.51/18,507.32 = 7,749.10/x
  3. Step 3: Cross multiply
    13,414.51x = 18,507.32 × 7,749.10
  4. Step 4: Simplify right side
    13,414.51x = 143,415,086.86
  5. Step 5: Solve for x
    x = 143,415,086.86/13,414.51
  6. Step 6: Final answer
    x = 10,691.04

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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.