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Finding the Fourth Proportional to 17,165.16, 25,744.56 and 6,071.94

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Solution

The fourth proportional to 17,165.16, 25,744.56 and 6,071.94 is: 9,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.16 : 25,744.56 = 6,071.94 : x
  2. Step 2: Convert to fraction form
    17,165.16/25,744.56 = 6,071.94/x
  3. Step 3: Cross multiply
    17,165.16x = 25,744.56 × 6,071.94
  4. Step 4: Simplify right side
    17,165.16x = 156,319,423.65
  5. Step 5: Solve for x
    x = 156,319,423.65/17,165.16
  6. Step 6: Final answer
    x = 9,106.79

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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.