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Finding the Fourth Proportional to 17,576.64, 24,260.34 and 12,199.50

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Solution

The fourth proportional to 17,576.64, 24,260.34 and 12,199.50 is: 16,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.64 : 24,260.34 = 12,199.50 : x
  2. Step 2: Convert to fraction form
    17,576.64/24,260.34 = 12,199.50/x
  3. Step 3: Cross multiply
    17,576.64x = 24,260.34 × 12,199.50
  4. Step 4: Simplify right side
    17,576.64x = 295,964,017.83
  5. Step 5: Solve for x
    x = 295,964,017.83/17,576.64
  6. Step 6: Final answer
    x = 16,838.49

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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.