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Finding the Fourth Proportional to 14,413.67, 21,477.22 and 12,841.60

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Solution

The fourth proportional to 14,413.67, 21,477.22 and 12,841.60 is: 19,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.67 : 21,477.22 = 12,841.60 : x
  2. Step 2: Convert to fraction form
    14,413.67/21,477.22 = 12,841.60/x
  3. Step 3: Cross multiply
    14,413.67x = 21,477.22 × 12,841.60
  4. Step 4: Simplify right side
    14,413.67x = 275,801,868.35
  5. Step 5: Solve for x
    x = 275,801,868.35/14,413.67
  6. Step 6: Final answer
    x = 19,134.74

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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.