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Finding the Fourth Proportional to 13,105.86, 18,087.68 and 7,442.37

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Solution

The fourth proportional to 13,105.86, 18,087.68 and 7,442.37 is: 10,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.86 : 18,087.68 = 7,442.37 : x
  2. Step 2: Convert to fraction form
    13,105.86/18,087.68 = 7,442.37/x
  3. Step 3: Cross multiply
    13,105.86x = 18,087.68 × 7,442.37
  4. Step 4: Simplify right side
    13,105.86x = 134,615,207.00
  5. Step 5: Solve for x
    x = 134,615,207.00/13,105.86
  6. Step 6: Final answer
    x = 10,271.38

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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.