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Finding the Fourth Proportional to 13,664.61, 18,857.22 and 7,696.38

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Solution

The fourth proportional to 13,664.61, 18,857.22 and 7,696.38 is: 10,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.61 : 18,857.22 = 7,696.38 : x
  2. Step 2: Convert to fraction form
    13,664.61/18,857.22 = 7,696.38/x
  3. Step 3: Cross multiply
    13,664.61x = 18,857.22 × 7,696.38
  4. Step 4: Simplify right side
    13,664.61x = 145,132,330.86
  5. Step 5: Solve for x
    x = 145,132,330.86/13,664.61
  6. Step 6: Final answer
    x = 10,621.04

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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.