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Finding the Fourth Proportional to 13,160.38, 18,162.50 and 7,493.89

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Solution

The fourth proportional to 13,160.38, 18,162.50 and 7,493.89 is: 10,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160.38 : 18,162.50 = 7,493.89 : x
  2. Step 2: Convert to fraction form
    13,160.38/18,162.50 = 7,493.89/x
  3. Step 3: Cross multiply
    13,160.38x = 18,162.50 × 7,493.89
  4. Step 4: Simplify right side
    13,160.38x = 136,107,777.13
  5. Step 5: Solve for x
    x = 136,107,777.13/13,160.38
  6. Step 6: Final answer
    x = 10,342.24

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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.