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Finding the Fourth Proportional to 20,281.56, 27,971.10 and 13,205.40

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Solution

The fourth proportional to 20,281.56, 27,971.10 and 13,205.40 is: 18,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.56 : 27,971.10 = 13,205.40 : x
  2. Step 2: Convert to fraction form
    20,281.56/27,971.10 = 13,205.40/x
  3. Step 3: Cross multiply
    20,281.56x = 27,971.10 × 13,205.40
  4. Step 4: Simplify right side
    20,281.56x = 369,369,563.94
  5. Step 5: Solve for x
    x = 369,369,563.94/20,281.56
  6. Step 6: Final answer
    x = 18,212.09

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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.