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Finding the Fourth Proportional to 17,003.12, 25,504.70 and 6,470.64

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Solution

The fourth proportional to 17,003.12, 25,504.70 and 6,470.64 is: 9,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,003.12 : 25,504.70 = 6,470.64 : x
  2. Step 2: Convert to fraction form
    17,003.12/25,504.70 = 6,470.64/x
  3. Step 3: Cross multiply
    17,003.12x = 25,504.70 × 6,470.64
  4. Step 4: Simplify right side
    17,003.12x = 165,031,699.65
  5. Step 5: Solve for x
    x = 165,031,699.65/17,003.12
  6. Step 6: Final answer
    x = 9,705.97

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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.