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Finding the Fourth Proportional to 19,818.86, 29,733.23 and 13,986.86

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Solution

The fourth proportional to 19,818.86, 29,733.23 and 13,986.86 is: 20,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.86 : 29,733.23 = 13,986.86 : x
  2. Step 2: Convert to fraction form
    19,818.86/29,733.23 = 13,986.86/x
  3. Step 3: Cross multiply
    19,818.86x = 29,733.23 × 13,986.86
  4. Step 4: Simplify right side
    19,818.86x = 415,874,411.66
  5. Step 5: Solve for x
    x = 415,874,411.66/19,818.86
  6. Step 6: Final answer
    x = 20,983.78

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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.