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Finding the Fourth Proportional to 11,632.86, 17,439.21 and 4,702.86

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Solution

The fourth proportional to 11,632.86, 17,439.21 and 4,702.86 is: 7,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.86 : 17,439.21 = 4,702.86 : x
  2. Step 2: Convert to fraction form
    11,632.86/17,439.21 = 4,702.86/x
  3. Step 3: Cross multiply
    11,632.86x = 17,439.21 × 4,702.86
  4. Step 4: Simplify right side
    11,632.86x = 82,014,163.14
  5. Step 5: Solve for x
    x = 82,014,163.14/11,632.86
  6. Step 6: Final answer
    x = 7,050.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.