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Finding the Fourth Proportional to 17,409.53, 24,025.16 and 9,451.76

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Solution

The fourth proportional to 17,409.53, 24,025.16 and 9,451.76 is: 13,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.53 : 24,025.16 = 9,451.76 : x
  2. Step 2: Convert to fraction form
    17,409.53/24,025.16 = 9,451.76/x
  3. Step 3: Cross multiply
    17,409.53x = 24,025.16 × 9,451.76
  4. Step 4: Simplify right side
    17,409.53x = 227,079,949.79
  5. Step 5: Solve for x
    x = 227,079,949.79/17,409.53
  6. Step 6: Final answer
    x = 13,043.43

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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.