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Finding the Fourth Proportional to 13,792.28, 20,685 and 3,931.64

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Solution

The fourth proportional to 13,792.28, 20,685 and 3,931.64 is: 5,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.28 : 20,685 = 3,931.64 : x
  2. Step 2: Convert to fraction form
    13,792.28/20,685 = 3,931.64/x
  3. Step 3: Cross multiply
    13,792.28x = 20,685 × 3,931.64
  4. Step 4: Simplify right side
    13,792.28x = 81,325,973.40
  5. Step 5: Solve for x
    x = 81,325,973.40/13,792.28
  6. Step 6: Final answer
    x = 5,896.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.