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Finding the Fourth Proportional to 13,431.92, 18,536.38 and 7,464.15

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Solution

The fourth proportional to 13,431.92, 18,536.38 and 7,464.15 is: 10,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.92 : 18,536.38 = 7,464.15 : x
  2. Step 2: Convert to fraction form
    13,431.92/18,536.38 = 7,464.15/x
  3. Step 3: Cross multiply
    13,431.92x = 18,536.38 × 7,464.15
  4. Step 4: Simplify right side
    13,431.92x = 138,358,302.12
  5. Step 5: Solve for x
    x = 138,358,302.12/13,431.92
  6. Step 6: Final answer
    x = 10,300.71

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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.