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Finding the Fourth Proportional to 14,773.82, 20,381.33 and 9,992.04

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Solution

The fourth proportional to 14,773.82, 20,381.33 and 9,992.04 is: 13,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.82 : 20,381.33 = 9,992.04 : x
  2. Step 2: Convert to fraction form
    14,773.82/20,381.33 = 9,992.04/x
  3. Step 3: Cross multiply
    14,773.82x = 20,381.33 × 9,992.04
  4. Step 4: Simplify right side
    14,773.82x = 203,651,014.65
  5. Step 5: Solve for x
    x = 203,651,014.65/14,773.82
  6. Step 6: Final answer
    x = 13,784.59

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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.