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Finding the Fourth Proportional to 13,767.76, 20,636.91 and 5,444.17

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Solution

The fourth proportional to 13,767.76, 20,636.91 and 5,444.17 is: 8,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.76 : 20,636.91 = 5,444.17 : x
  2. Step 2: Convert to fraction form
    13,767.76/20,636.91 = 5,444.17/x
  3. Step 3: Cross multiply
    13,767.76x = 20,636.91 × 5,444.17
  4. Step 4: Simplify right side
    13,767.76x = 112,350,846.31
  5. Step 5: Solve for x
    x = 112,350,846.31/13,767.76
  6. Step 6: Final answer
    x = 8,160.43

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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.