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Finding the Fourth Proportional to 18,564.96, 27,842.58 and 6,871.80

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Solution

The fourth proportional to 18,564.96, 27,842.58 and 6,871.80 is: 10,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.96 : 27,842.58 = 6,871.80 : x
  2. Step 2: Convert to fraction form
    18,564.96/27,842.58 = 6,871.80/x
  3. Step 3: Cross multiply
    18,564.96x = 27,842.58 × 6,871.80
  4. Step 4: Simplify right side
    18,564.96x = 191,328,641.24
  5. Step 5: Solve for x
    x = 191,328,641.24/18,564.96
  6. Step 6: Final answer
    x = 10,305.90

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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.