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Finding the Fourth Proportional to 13,315.67, 19,872.24 and 11,839.49

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Solution

The fourth proportional to 13,315.67, 19,872.24 and 11,839.49 is: 17,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.67 : 19,872.24 = 11,839.49 : x
  2. Step 2: Convert to fraction form
    13,315.67/19,872.24 = 11,839.49/x
  3. Step 3: Cross multiply
    13,315.67x = 19,872.24 × 11,839.49
  4. Step 4: Simplify right side
    13,315.67x = 235,277,186.76
  5. Step 5: Solve for x
    x = 235,277,186.76/13,315.67
  6. Step 6: Final answer
    x = 17,669.20

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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.