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Finding the Fourth Proportional to 13,049.70, 18,000.38 and 7,740.75

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Solution

The fourth proportional to 13,049.70, 18,000.38 and 7,740.75 is: 10,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.70 : 18,000.38 = 7,740.75 : x
  2. Step 2: Convert to fraction form
    13,049.70/18,000.38 = 7,740.75/x
  3. Step 3: Cross multiply
    13,049.70x = 18,000.38 × 7,740.75
  4. Step 4: Simplify right side
    13,049.70x = 139,336,402.78
  5. Step 5: Solve for x
    x = 139,336,402.78/13,049.70
  6. Step 6: Final answer
    x = 10,677.36

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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.