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Finding the Fourth Proportional to 21,596.68, 29,804.72 and 13,214.80

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Solution

The fourth proportional to 21,596.68, 29,804.72 and 13,214.80 is: 18,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.68 : 29,804.72 = 13,214.80 : x
  2. Step 2: Convert to fraction form
    21,596.68/29,804.72 = 13,214.80/x
  3. Step 3: Cross multiply
    21,596.68x = 29,804.72 × 13,214.80
  4. Step 4: Simplify right side
    21,596.68x = 393,863,413.86
  5. Step 5: Solve for x
    x = 393,863,413.86/21,596.68
  6. Step 6: Final answer
    x = 18,237.22

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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.