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Finding the Fourth Proportional to 13,689.49, 18,874.38 and 11,424.08

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Solution

The fourth proportional to 13,689.49, 18,874.38 and 11,424.08 is: 15,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.49 : 18,874.38 = 11,424.08 : x
  2. Step 2: Convert to fraction form
    13,689.49/18,874.38 = 11,424.08/x
  3. Step 3: Cross multiply
    13,689.49x = 18,874.38 × 11,424.08
  4. Step 4: Simplify right side
    13,689.49x = 215,622,427.07
  5. Step 5: Solve for x
    x = 215,622,427.07/13,689.49
  6. Step 6: Final answer
    x = 15,750.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.