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Finding the Fourth Proportional to 13,634.58, 20,462.81 and 7,062.65

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Solution

The fourth proportional to 13,634.58, 20,462.81 and 7,062.65 is: 10,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.58 : 20,462.81 = 7,062.65 : x
  2. Step 2: Convert to fraction form
    13,634.58/20,462.81 = 7,062.65/x
  3. Step 3: Cross multiply
    13,634.58x = 20,462.81 × 7,062.65
  4. Step 4: Simplify right side
    13,634.58x = 144,521,665.05
  5. Step 5: Solve for x
    x = 144,521,665.05/13,634.58
  6. Step 6: Final answer
    x = 10,599.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.