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Finding the Fourth Proportional to 13,043.73, 18,000.18 and 7,741.02

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Solution

The fourth proportional to 13,043.73, 18,000.18 and 7,741.02 is: 10,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.73 : 18,000.18 = 7,741.02 : x
  2. Step 2: Convert to fraction form
    13,043.73/18,000.18 = 7,741.02/x
  3. Step 3: Cross multiply
    13,043.73x = 18,000.18 × 7,741.02
  4. Step 4: Simplify right side
    13,043.73x = 139,339,753.38
  5. Step 5: Solve for x
    x = 139,339,753.38/13,043.73
  6. Step 6: Final answer
    x = 10,682.51

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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.