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Finding the Fourth Proportional to 11,576.86, 17,263.61 and 11,471.61

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Solution

The fourth proportional to 11,576.86, 17,263.61 and 11,471.61 is: 17,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.86 : 17,263.61 = 11,471.61 : x
  2. Step 2: Convert to fraction form
    11,576.86/17,263.61 = 11,471.61/x
  3. Step 3: Cross multiply
    11,576.86x = 17,263.61 × 11,471.61
  4. Step 4: Simplify right side
    11,576.86x = 198,041,314.79
  5. Step 5: Solve for x
    x = 198,041,314.79/11,576.86
  6. Step 6: Final answer
    x = 17,106.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.