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Finding the Fourth Proportional to 14,974.42, 20,514.93 and 14,413.63

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Solution

The fourth proportional to 14,974.42, 20,514.93 and 14,413.63 is: 19,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.42 : 20,514.93 = 14,413.63 : x
  2. Step 2: Convert to fraction form
    14,974.42/20,514.93 = 14,413.63/x
  3. Step 3: Cross multiply
    14,974.42x = 20,514.93 × 14,413.63
  4. Step 4: Simplify right side
    14,974.42x = 295,694,610.50
  5. Step 5: Solve for x
    x = 295,694,610.50/14,974.42
  6. Step 6: Final answer
    x = 19,746.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.