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Finding the Fourth Proportional to 13,380.41, 18,465.49 and 7,411.96

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Solution

The fourth proportional to 13,380.41, 18,465.49 and 7,411.96 is: 10,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.41 : 18,465.49 = 7,411.96 : x
  2. Step 2: Convert to fraction form
    13,380.41/18,465.49 = 7,411.96/x
  3. Step 3: Cross multiply
    13,380.41x = 18,465.49 × 7,411.96
  4. Step 4: Simplify right side
    13,380.41x = 136,865,473.26
  5. Step 5: Solve for x
    x = 136,865,473.26/13,380.41
  6. Step 6: Final answer
    x = 10,228.80

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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.