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Finding the Fourth Proportional to 13,687.38, 18,881.91 and 8,649.18

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Solution

The fourth proportional to 13,687.38, 18,881.91 and 8,649.18 is: 11,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.38 : 18,881.91 = 8,649.18 : x
  2. Step 2: Convert to fraction form
    13,687.38/18,881.91 = 8,649.18/x
  3. Step 3: Cross multiply
    13,687.38x = 18,881.91 × 8,649.18
  4. Step 4: Simplify right side
    13,687.38x = 163,313,038.33
  5. Step 5: Solve for x
    x = 163,313,038.33/13,687.38
  6. Step 6: Final answer
    x = 11,931.65

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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.