Home / 10,824.14-16,237.50-10,233.66

Finding the Fourth Proportional to 10,824.14, 16,237.50 and 10,233.66

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Solution

The fourth proportional to 10,824.14, 16,237.50 and 10,233.66 is: 15,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.14 : 16,237.50 = 10,233.66 : x
  2. Step 2: Convert to fraction form
    10,824.14/16,237.50 = 10,233.66/x
  3. Step 3: Cross multiply
    10,824.14x = 16,237.50 × 10,233.66
  4. Step 4: Simplify right side
    10,824.14x = 166,169,054.25
  5. Step 5: Solve for x
    x = 166,169,054.25/10,824.14
  6. Step 6: Final answer
    x = 15,351.71

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Why These Related Problems?

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