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Finding the Fourth Proportional to 17,649.24, 24,358.50 and 10,576.32

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Solution

The fourth proportional to 17,649.24, 24,358.50 and 10,576.32 is: 14,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.24 : 24,358.50 = 10,576.32 : x
  2. Step 2: Convert to fraction form
    17,649.24/24,358.50 = 10,576.32/x
  3. Step 3: Cross multiply
    17,649.24x = 24,358.50 × 10,576.32
  4. Step 4: Simplify right side
    17,649.24x = 257,623,290.72
  5. Step 5: Solve for x
    x = 257,623,290.72/17,649.24
  6. Step 6: Final answer
    x = 14,596.85

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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.