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Finding the Fourth Proportional to 39,719.89, 59,564.22 and 14,413.38

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Solution

The fourth proportional to 39,719.89, 59,564.22 and 14,413.38 is: 21,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719.89 : 59,564.22 = 14,413.38 : x
  2. Step 2: Convert to fraction form
    39,719.89/59,564.22 = 14,413.38/x
  3. Step 3: Cross multiply
    39,719.89x = 59,564.22 × 14,413.38
  4. Step 4: Simplify right side
    39,719.89x = 858,521,737.26
  5. Step 5: Solve for x
    x = 858,521,737.26/39,719.89
  6. Step 6: Final answer
    x = 21,614.40

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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.