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Finding the Fourth Proportional to 13,321.38, 18,382.51 and 7,656.14

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Solution

The fourth proportional to 13,321.38, 18,382.51 and 7,656.14 is: 10,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.38 : 18,382.51 = 7,656.14 : x
  2. Step 2: Convert to fraction form
    13,321.38/18,382.51 = 7,656.14/x
  3. Step 3: Cross multiply
    13,321.38x = 18,382.51 × 7,656.14
  4. Step 4: Simplify right side
    13,321.38x = 140,739,096.93
  5. Step 5: Solve for x
    x = 140,739,096.93/13,321.38
  6. Step 6: Final answer
    x = 10,564.90

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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.