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Finding the Fourth Proportional to 17,076.80, 25,564.80 and 12,713.60

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Solution

The fourth proportional to 17,076.80, 25,564.80 and 12,713.60 is: 19,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.80 : 25,564.80 = 12,713.60 : x
  2. Step 2: Convert to fraction form
    17,076.80/25,564.80 = 12,713.60/x
  3. Step 3: Cross multiply
    17,076.80x = 25,564.80 × 12,713.60
  4. Step 4: Simplify right side
    17,076.80x = 325,020,641.28
  5. Step 5: Solve for x
    x = 325,020,641.28/17,076.80
  6. Step 6: Final answer
    x = 19,032.88

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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.