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Finding the Fourth Proportional to 13,257.41, 18,298.17 and 10,380.42

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Solution

The fourth proportional to 13,257.41, 18,298.17 and 10,380.42 is: 14,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.41 : 18,298.17 = 10,380.42 : x
  2. Step 2: Convert to fraction form
    13,257.41/18,298.17 = 10,380.42/x
  3. Step 3: Cross multiply
    13,257.41x = 18,298.17 × 10,380.42
  4. Step 4: Simplify right side
    13,257.41x = 189,942,689.83
  5. Step 5: Solve for x
    x = 189,942,689.83/13,257.41
  6. Step 6: Final answer
    x = 14,327.29

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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.