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Finding the Fourth Proportional to 13,938.82, 19,237.66 and 8,906.38

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Solution

The fourth proportional to 13,938.82, 19,237.66 and 8,906.38 is: 12,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.82 : 19,237.66 = 8,906.38 : x
  2. Step 2: Convert to fraction form
    13,938.82/19,237.66 = 8,906.38/x
  3. Step 3: Cross multiply
    13,938.82x = 19,237.66 × 8,906.38
  4. Step 4: Simplify right side
    13,938.82x = 171,337,839.91
  5. Step 5: Solve for x
    x = 171,337,839.91/13,938.82
  6. Step 6: Final answer
    x = 12,292.14

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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.