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Finding the Fourth Proportional to 17,023.40, 25,536.30 and 9,631.40

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Solution

The fourth proportional to 17,023.40, 25,536.30 and 9,631.40 is: 14,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.40 : 25,536.30 = 9,631.40 : x
  2. Step 2: Convert to fraction form
    17,023.40/25,536.30 = 9,631.40/x
  3. Step 3: Cross multiply
    17,023.40x = 25,536.30 × 9,631.40
  4. Step 4: Simplify right side
    17,023.40x = 245,950,319.82
  5. Step 5: Solve for x
    x = 245,950,319.82/17,023.40
  6. Step 6: Final answer
    x = 14,447.78

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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.