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Finding the Fourth Proportional to 13,214.05, 18,235.38 and 7,245.82

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Solution

The fourth proportional to 13,214.05, 18,235.38 and 7,245.82 is: 9,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.05 : 18,235.38 = 7,245.82 : x
  2. Step 2: Convert to fraction form
    13,214.05/18,235.38 = 7,245.82/x
  3. Step 3: Cross multiply
    13,214.05x = 18,235.38 × 7,245.82
  4. Step 4: Simplify right side
    13,214.05x = 132,130,189.93
  5. Step 5: Solve for x
    x = 132,130,189.93/13,214.05
  6. Step 6: Final answer
    x = 9,999.22

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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.