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Finding the Fourth Proportional to 18,689.42, 25,790.64 and 10,191.30

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Solution

The fourth proportional to 18,689.42, 25,790.64 and 10,191.30 is: 14,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,689.42 : 25,790.64 = 10,191.30 : x
  2. Step 2: Convert to fraction form
    18,689.42/25,790.64 = 10,191.30/x
  3. Step 3: Cross multiply
    18,689.42x = 25,790.64 × 10,191.30
  4. Step 4: Simplify right side
    18,689.42x = 262,840,149.43
  5. Step 5: Solve for x
    x = 262,840,149.43/18,689.42
  6. Step 6: Final answer
    x = 14,063.58

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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.