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Finding the Fourth Proportional to 13,096.38, 18,073.01 and 7,128.09

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Solution

The fourth proportional to 13,096.38, 18,073.01 and 7,128.09 is: 9,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.38 : 18,073.01 = 7,128.09 : x
  2. Step 2: Convert to fraction form
    13,096.38/18,073.01 = 7,128.09/x
  3. Step 3: Cross multiply
    13,096.38x = 18,073.01 × 7,128.09
  4. Step 4: Simplify right side
    13,096.38x = 128,826,019.58
  5. Step 5: Solve for x
    x = 128,826,019.58/13,096.38
  6. Step 6: Final answer
    x = 9,836.77

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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.