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Finding the Fourth Proportional to 17,164.24, 25,723.08 and 7,291.14

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Solution

The fourth proportional to 17,164.24, 25,723.08 and 7,291.14 is: 10,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.24 : 25,723.08 = 7,291.14 : x
  2. Step 2: Convert to fraction form
    17,164.24/25,723.08 = 7,291.14/x
  3. Step 3: Cross multiply
    17,164.24x = 25,723.08 × 7,291.14
  4. Step 4: Simplify right side
    17,164.24x = 187,550,577.51
  5. Step 5: Solve for x
    x = 187,550,577.51/17,164.24
  6. Step 6: Final answer
    x = 10,926.82

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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.