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Finding the Fourth Proportional to 14,992.25, 20,690.12 and 8,277.86

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Solution

The fourth proportional to 14,992.25, 20,690.12 and 8,277.86 is: 11,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.25 : 20,690.12 = 8,277.86 : x
  2. Step 2: Convert to fraction form
    14,992.25/20,690.12 = 8,277.86/x
  3. Step 3: Cross multiply
    14,992.25x = 20,690.12 × 8,277.86
  4. Step 4: Simplify right side
    14,992.25x = 171,269,826.22
  5. Step 5: Solve for x
    x = 171,269,826.22/14,992.25
  6. Step 6: Final answer
    x = 11,423.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.