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Finding the Fourth Proportional to 11,559.67, 17,250.95 and 10,314

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Solution

The fourth proportional to 11,559.67, 17,250.95 and 10,314 is: 15,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.67 : 17,250.95 = 10,314 : x
  2. Step 2: Convert to fraction form
    11,559.67/17,250.95 = 10,314/x
  3. Step 3: Cross multiply
    11,559.67x = 17,250.95 × 10,314
  4. Step 4: Simplify right side
    11,559.67x = 177,926,324.09
  5. Step 5: Solve for x
    x = 177,926,324.09/11,559.67
  6. Step 6: Final answer
    x = 15,391.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.