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Finding the Fourth Proportional to 13,100.41, 18,078.68 and 7,132.12

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Solution

The fourth proportional to 13,100.41, 18,078.68 and 7,132.12 is: 9,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.41 : 18,078.68 = 7,132.12 : x
  2. Step 2: Convert to fraction form
    13,100.41/18,078.68 = 7,132.12/x
  3. Step 3: Cross multiply
    13,100.41x = 18,078.68 × 7,132.12
  4. Step 4: Simplify right side
    13,100.41x = 128,939,279.54
  5. Step 5: Solve for x
    x = 128,939,279.54/13,100.41
  6. Step 6: Final answer
    x = 9,842.39

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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.