Home / 10,823.14-16,236-10,232.65

Finding the Fourth Proportional to 10,823.14, 16,236 and 10,232.65

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Solution

The fourth proportional to 10,823.14, 16,236 and 10,232.65 is: 15,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.14 : 16,236 = 10,232.65 : x
  2. Step 2: Convert to fraction form
    10,823.14/16,236 = 10,232.65/x
  3. Step 3: Cross multiply
    10,823.14x = 16,236 × 10,232.65
  4. Step 4: Simplify right side
    10,823.14x = 166,137,305.40
  5. Step 5: Solve for x
    x = 166,137,305.40/10,823.14
  6. Step 6: Final answer
    x = 15,350.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.