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Finding the Fourth Proportional to 18,616.10, 25,689.92 and 10,232.42

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Solution

The fourth proportional to 18,616.10, 25,689.92 and 10,232.42 is: 14,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,616.10 : 25,689.92 = 10,232.42 : x
  2. Step 2: Convert to fraction form
    18,616.10/25,689.92 = 10,232.42/x
  3. Step 3: Cross multiply
    18,616.10x = 25,689.92 × 10,232.42
  4. Step 4: Simplify right side
    18,616.10x = 262,870,051.21
  5. Step 5: Solve for x
    x = 262,870,051.21/18,616.10
  6. Step 6: Final answer
    x = 14,120.58

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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.