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Finding the Fourth Proportional to 14,413.94, 21,614.19 and 7,486.58

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Solution

The fourth proportional to 14,413.94, 21,614.19 and 7,486.58 is: 11,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.94 : 21,614.19 = 7,486.58 : x
  2. Step 2: Convert to fraction form
    14,413.94/21,614.19 = 7,486.58/x
  3. Step 3: Cross multiply
    14,413.94x = 21,614.19 × 7,486.58
  4. Step 4: Simplify right side
    14,413.94x = 161,816,362.57
  5. Step 5: Solve for x
    x = 161,816,362.57/14,413.94
  6. Step 6: Final answer
    x = 11,226.38

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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.