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Finding the Fourth Proportional to 13,772.81, 20,662.46 and 4,538.81

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Solution

The fourth proportional to 13,772.81, 20,662.46 and 4,538.81 is: 6,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.81 : 20,662.46 = 4,538.81 : x
  2. Step 2: Convert to fraction form
    13,772.81/20,662.46 = 4,538.81/x
  3. Step 3: Cross multiply
    13,772.81x = 20,662.46 × 4,538.81
  4. Step 4: Simplify right side
    13,772.81x = 93,783,026.06
  5. Step 5: Solve for x
    x = 93,783,026.06/13,772.81
  6. Step 6: Final answer
    x = 6,809.29

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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.