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Finding the Fourth Proportional to 13,812.70, 20,731.92 and 9,867.80

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Solution

The fourth proportional to 13,812.70, 20,731.92 and 9,867.80 is: 14,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.70 : 20,731.92 = 9,867.80 : x
  2. Step 2: Convert to fraction form
    13,812.70/20,731.92 = 9,867.80/x
  3. Step 3: Cross multiply
    13,812.70x = 20,731.92 × 9,867.80
  4. Step 4: Simplify right side
    13,812.70x = 204,578,440.18
  5. Step 5: Solve for x
    x = 204,578,440.18/13,812.70
  6. Step 6: Final answer
    x = 14,810.89

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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.