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Finding the Fourth Proportional to 14,992.38, 20,687.67 and 8,277.48

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Solution

The fourth proportional to 14,992.38, 20,687.67 and 8,277.48 is: 11,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.38 : 20,687.67 = 8,277.48 : x
  2. Step 2: Convert to fraction form
    14,992.38/20,687.67 = 8,277.48/x
  3. Step 3: Cross multiply
    14,992.38x = 20,687.67 × 8,277.48
  4. Step 4: Simplify right side
    14,992.38x = 171,241,774.67
  5. Step 5: Solve for x
    x = 171,241,774.67/14,992.38
  6. Step 6: Final answer
    x = 11,421.92

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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.