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Finding the Fourth Proportional to 17,446.24, 24,063.60 and 11,476

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Solution

The fourth proportional to 17,446.24, 24,063.60 and 11,476 is: 15,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.24 : 24,063.60 = 11,476 : x
  2. Step 2: Convert to fraction form
    17,446.24/24,063.60 = 11,476/x
  3. Step 3: Cross multiply
    17,446.24x = 24,063.60 × 11,476
  4. Step 4: Simplify right side
    17,446.24x = 276,153,873.60
  5. Step 5: Solve for x
    x = 276,153,873.60/17,446.24
  6. Step 6: Final answer
    x = 15,828.85

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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.