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Finding the Fourth Proportional to 17,165.80, 25,724.70 and 13,661.80

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Solution

The fourth proportional to 17,165.80, 25,724.70 and 13,661.80 is: 20,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.80 : 25,724.70 = 13,661.80 : x
  2. Step 2: Convert to fraction form
    17,165.80/25,724.70 = 13,661.80/x
  3. Step 3: Cross multiply
    17,165.80x = 25,724.70 × 13,661.80
  4. Step 4: Simplify right side
    17,165.80x = 351,445,706.46
  5. Step 5: Solve for x
    x = 351,445,706.46/17,165.80
  6. Step 6: Final answer
    x = 20,473.60

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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.