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Finding the Fourth Proportional to 14,659.88, 20,257.42 and 10,674.04

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Solution

The fourth proportional to 14,659.88, 20,257.42 and 10,674.04 is: 14,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.88 : 20,257.42 = 10,674.04 : x
  2. Step 2: Convert to fraction form
    14,659.88/20,257.42 = 10,674.04/x
  3. Step 3: Cross multiply
    14,659.88x = 20,257.42 × 10,674.04
  4. Step 4: Simplify right side
    14,659.88x = 216,228,511.38
  5. Step 5: Solve for x
    x = 216,228,511.38/14,659.88
  6. Step 6: Final answer
    x = 14,749.68

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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.