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Finding the Fourth Proportional to 13,807.35, 20,711.70 and 7,246.35

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Solution

The fourth proportional to 13,807.35, 20,711.70 and 7,246.35 is: 10,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.35 : 20,711.70 = 7,246.35 : x
  2. Step 2: Convert to fraction form
    13,807.35/20,711.70 = 7,246.35/x
  3. Step 3: Cross multiply
    13,807.35x = 20,711.70 × 7,246.35
  4. Step 4: Simplify right side
    13,807.35x = 150,084,227.30
  5. Step 5: Solve for x
    x = 150,084,227.30/13,807.35
  6. Step 6: Final answer
    x = 10,869.88

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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.