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Finding the Fourth Proportional to 13,140.22, 18,135.84 and 7,835.38

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Solution

The fourth proportional to 13,140.22, 18,135.84 and 7,835.38 is: 10,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.22 : 18,135.84 = 7,835.38 : x
  2. Step 2: Convert to fraction form
    13,140.22/18,135.84 = 7,835.38/x
  3. Step 3: Cross multiply
    13,140.22x = 18,135.84 × 7,835.38
  4. Step 4: Simplify right side
    13,140.22x = 142,101,198.02
  5. Step 5: Solve for x
    x = 142,101,198.02/13,140.22
  6. Step 6: Final answer
    x = 10,814.22

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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.