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Finding the Fourth Proportional to 13,103.68, 18,090.04 and 10,523.38

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Solution

The fourth proportional to 13,103.68, 18,090.04 and 10,523.38 is: 14,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.68 : 18,090.04 = 10,523.38 : x
  2. Step 2: Convert to fraction form
    13,103.68/18,090.04 = 10,523.38/x
  3. Step 3: Cross multiply
    13,103.68x = 18,090.04 × 10,523.38
  4. Step 4: Simplify right side
    13,103.68x = 190,368,365.14
  5. Step 5: Solve for x
    x = 190,368,365.14/13,103.68
  6. Step 6: Final answer
    x = 14,527.86

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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.