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Finding the Fourth Proportional to 13,642.91, 18,821.39 and 7,818.93

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Solution

The fourth proportional to 13,642.91, 18,821.39 and 7,818.93 is: 10,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.91 : 18,821.39 = 7,818.93 : x
  2. Step 2: Convert to fraction form
    13,642.91/18,821.39 = 7,818.93/x
  3. Step 3: Cross multiply
    13,642.91x = 18,821.39 × 7,818.93
  4. Step 4: Simplify right side
    13,642.91x = 147,163,091.82
  5. Step 5: Solve for x
    x = 147,163,091.82/13,642.91
  6. Step 6: Final answer
    x = 10,786.78

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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.