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Finding the Fourth Proportional to 13,380.21, 18,464.66 and 7,411.87

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Solution

The fourth proportional to 13,380.21, 18,464.66 and 7,411.87 is: 10,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.21 : 18,464.66 = 7,411.87 : x
  2. Step 2: Convert to fraction form
    13,380.21/18,464.66 = 7,411.87/x
  3. Step 3: Cross multiply
    13,380.21x = 18,464.66 × 7,411.87
  4. Step 4: Simplify right side
    13,380.21x = 136,857,659.51
  5. Step 5: Solve for x
    x = 136,857,659.51/13,380.21
  6. Step 6: Final answer
    x = 10,228.36

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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.