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Finding the Fourth Proportional to 13,640.38, 18,823.92 and 8,334.07

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Solution

The fourth proportional to 13,640.38, 18,823.92 and 8,334.07 is: 11,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.38 : 18,823.92 = 8,334.07 : x
  2. Step 2: Convert to fraction form
    13,640.38/18,823.92 = 8,334.07/x
  3. Step 3: Cross multiply
    13,640.38x = 18,823.92 × 8,334.07
  4. Step 4: Simplify right side
    13,640.38x = 156,879,866.95
  5. Step 5: Solve for x
    x = 156,879,866.95/13,640.38
  6. Step 6: Final answer
    x = 11,501.14

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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.