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Finding the Fourth Proportional to 14,517.16, 20,033.54 and 7,893.16

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Solution

The fourth proportional to 14,517.16, 20,033.54 and 7,893.16 is: 10,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.16 : 20,033.54 = 7,893.16 : x
  2. Step 2: Convert to fraction form
    14,517.16/20,033.54 = 7,893.16/x
  3. Step 3: Cross multiply
    14,517.16x = 20,033.54 × 7,893.16
  4. Step 4: Simplify right side
    14,517.16x = 158,127,936.59
  5. Step 5: Solve for x
    x = 158,127,936.59/14,517.16
  6. Step 6: Final answer
    x = 10,892.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.