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Finding the Fourth Proportional to 19,706.54, 27,186.45 and 12,983.54

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Solution

The fourth proportional to 19,706.54, 27,186.45 and 12,983.54 is: 17,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.54 : 27,186.45 = 12,983.54 : x
  2. Step 2: Convert to fraction form
    19,706.54/27,186.45 = 12,983.54/x
  3. Step 3: Cross multiply
    19,706.54x = 27,186.45 × 12,983.54
  4. Step 4: Simplify right side
    19,706.54x = 352,976,361.03
  5. Step 5: Solve for x
    x = 352,976,361.03/19,706.54
  6. Step 6: Final answer
    x = 17,911.64

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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.