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Finding the Fourth Proportional to 17,004.38, 23,459.31 and 9,832.98

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Solution

The fourth proportional to 17,004.38, 23,459.31 and 9,832.98 is: 13,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,004.38 : 23,459.31 = 9,832.98 : x
  2. Step 2: Convert to fraction form
    17,004.38/23,459.31 = 9,832.98/x
  3. Step 3: Cross multiply
    17,004.38x = 23,459.31 × 9,832.98
  4. Step 4: Simplify right side
    17,004.38x = 230,674,926.04
  5. Step 5: Solve for x
    x = 230,674,926.04/17,004.38
  6. Step 6: Final answer
    x = 13,565.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.