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Finding the Fourth Proportional to 13,808.70, 20,713.05 and 9,872.10

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Solution

The fourth proportional to 13,808.70, 20,713.05 and 9,872.10 is: 14,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.70 : 20,713.05 = 9,872.10 : x
  2. Step 2: Convert to fraction form
    13,808.70/20,713.05 = 9,872.10/x
  3. Step 3: Cross multiply
    13,808.70x = 20,713.05 × 9,872.10
  4. Step 4: Simplify right side
    13,808.70x = 204,481,300.91
  5. Step 5: Solve for x
    x = 204,481,300.91/13,808.70
  6. Step 6: Final answer
    x = 14,808.15

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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.