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Finding the Fourth Proportional to 17,071.65, 25,615.22 and 7,706.61

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Solution

The fourth proportional to 17,071.65, 25,615.22 and 7,706.61 is: 11,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.65 : 25,615.22 = 7,706.61 : x
  2. Step 2: Convert to fraction form
    17,071.65/25,615.22 = 7,706.61/x
  3. Step 3: Cross multiply
    17,071.65x = 25,615.22 × 7,706.61
  4. Step 4: Simplify right side
    17,071.65x = 197,406,472.07
  5. Step 5: Solve for x
    x = 197,406,472.07/17,071.65
  6. Step 6: Final answer
    x = 11,563.41

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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.