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Finding the Fourth Proportional to 13,145.76, 18,140.90 and 7,480.38

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Solution

The fourth proportional to 13,145.76, 18,140.90 and 7,480.38 is: 10,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.76 : 18,140.90 = 7,480.38 : x
  2. Step 2: Convert to fraction form
    13,145.76/18,140.90 = 7,480.38/x
  3. Step 3: Cross multiply
    13,145.76x = 18,140.90 × 7,480.38
  4. Step 4: Simplify right side
    13,145.76x = 135,700,825.54
  5. Step 5: Solve for x
    x = 135,700,825.54/13,145.76
  6. Step 6: Final answer
    x = 10,322.78

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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.