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Finding the Fourth Proportional to 21,453.10, 32,174.49 and 7,413.61

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Solution

The fourth proportional to 21,453.10, 32,174.49 and 7,413.61 is: 11,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.10 : 32,174.49 = 7,413.61 : x
  2. Step 2: Convert to fraction form
    21,453.10/32,174.49 = 7,413.61/x
  3. Step 3: Cross multiply
    21,453.10x = 32,174.49 × 7,413.61
  4. Step 4: Simplify right side
    21,453.10x = 238,529,120.81
  5. Step 5: Solve for x
    x = 238,529,120.81/21,453.10
  6. Step 6: Final answer
    x = 11,118.63

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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.