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Finding the Fourth Proportional to 14,992.37, 20,689.38 and 8,277.94

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Solution

The fourth proportional to 14,992.37, 20,689.38 and 8,277.94 is: 11,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.37 : 20,689.38 = 8,277.94 : x
  2. Step 2: Convert to fraction form
    14,992.37/20,689.38 = 8,277.94/x
  3. Step 3: Cross multiply
    14,992.37x = 20,689.38 × 8,277.94
  4. Step 4: Simplify right side
    14,992.37x = 171,265,472.14
  5. Step 5: Solve for x
    x = 171,265,472.14/14,992.37
  6. Step 6: Final answer
    x = 11,423.51

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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.