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Finding the Fourth Proportional to 14,413.68, 21,636.72 and 11,165.94

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Solution

The fourth proportional to 14,413.68, 21,636.72 and 11,165.94 is: 16,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.68 : 21,636.72 = 11,165.94 : x
  2. Step 2: Convert to fraction form
    14,413.68/21,636.72 = 11,165.94/x
  3. Step 3: Cross multiply
    14,413.68x = 21,636.72 × 11,165.94
  4. Step 4: Simplify right side
    14,413.68x = 241,594,317.32
  5. Step 5: Solve for x
    x = 241,594,317.32/14,413.68
  6. Step 6: Final answer
    x = 16,761.46

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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.