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Finding the Fourth Proportional to 17,454.34, 24,086.28 and 9,496.56

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Solution

The fourth proportional to 17,454.34, 24,086.28 and 9,496.56 is: 13,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.34 : 24,086.28 = 9,496.56 : x
  2. Step 2: Convert to fraction form
    17,454.34/24,086.28 = 9,496.56/x
  3. Step 3: Cross multiply
    17,454.34x = 24,086.28 × 9,496.56
  4. Step 4: Simplify right side
    17,454.34x = 228,736,803.20
  5. Step 5: Solve for x
    x = 228,736,803.20/17,454.34
  6. Step 6: Final answer
    x = 13,104.87

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