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Finding the Fourth Proportional to 14,992.38, 20,690.29 and 8,277.98

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Solution

The fourth proportional to 14,992.38, 20,690.29 and 8,277.98 is: 11,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.38 : 20,690.29 = 8,277.98 : x
  2. Step 2: Convert to fraction form
    14,992.38/20,690.29 = 8,277.98/x
  3. Step 3: Cross multiply
    14,992.38x = 20,690.29 × 8,277.98
  4. Step 4: Simplify right side
    14,992.38x = 171,273,786.12
  5. Step 5: Solve for x
    x = 171,273,786.12/14,992.38
  6. Step 6: Final answer
    x = 11,424.06

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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.