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Finding the Fourth Proportional to 19,923.30, 29,871.11 and 8,823.94

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Solution

The fourth proportional to 19,923.30, 29,871.11 and 8,823.94 is: 13,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.30 : 29,871.11 = 8,823.94 : x
  2. Step 2: Convert to fraction form
    19,923.30/29,871.11 = 8,823.94/x
  3. Step 3: Cross multiply
    19,923.30x = 29,871.11 × 8,823.94
  4. Step 4: Simplify right side
    19,923.30x = 263,580,829.76
  5. Step 5: Solve for x
    x = 263,580,829.76/19,923.30
  6. Step 6: Final answer
    x = 13,229.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.