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Finding the Fourth Proportional to 13,894.38, 19,177.62 and 8,586

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Solution

The fourth proportional to 13,894.38, 19,177.62 and 8,586 is: 11,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.38 : 19,177.62 = 8,586 : x
  2. Step 2: Convert to fraction form
    13,894.38/19,177.62 = 8,586/x
  3. Step 3: Cross multiply
    13,894.38x = 19,177.62 × 8,586
  4. Step 4: Simplify right side
    13,894.38x = 164,659,045.32
  5. Step 5: Solve for x
    x = 164,659,045.32/13,894.38
  6. Step 6: Final answer
    x = 11,850.77

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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.