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Finding the Fourth Proportional to 17,071.65, 25,606.56 and 6,546.71

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Solution

The fourth proportional to 17,071.65, 25,606.56 and 6,546.71 is: 9,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.65 : 25,606.56 = 6,546.71 : x
  2. Step 2: Convert to fraction form
    17,071.65/25,606.56 = 6,546.71/x
  3. Step 3: Cross multiply
    17,071.65x = 25,606.56 × 6,546.71
  4. Step 4: Simplify right side
    17,071.65x = 167,638,722.42
  5. Step 5: Solve for x
    x = 167,638,722.42/17,071.65
  6. Step 6: Final answer
    x = 9,819.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.