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Finding the Fourth Proportional to 17,116.42, 25,668.15 and 6,722.50

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Solution

The fourth proportional to 17,116.42, 25,668.15 and 6,722.50 is: 10,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.42 : 25,668.15 = 6,722.50 : x
  2. Step 2: Convert to fraction form
    17,116.42/25,668.15 = 6,722.50/x
  3. Step 3: Cross multiply
    17,116.42x = 25,668.15 × 6,722.50
  4. Step 4: Simplify right side
    17,116.42x = 172,554,138.38
  5. Step 5: Solve for x
    x = 172,554,138.38/17,116.42
  6. Step 6: Final answer
    x = 10,081.20

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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.