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Finding the Fourth Proportional to 15,413.80, 23,009.19 and 13,545.47

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Solution

The fourth proportional to 15,413.80, 23,009.19 and 13,545.47 is: 20,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.80 : 23,009.19 = 13,545.47 : x
  2. Step 2: Convert to fraction form
    15,413.80/23,009.19 = 13,545.47/x
  3. Step 3: Cross multiply
    15,413.80x = 23,009.19 × 13,545.47
  4. Step 4: Simplify right side
    15,413.80x = 311,670,292.87
  5. Step 5: Solve for x
    x = 311,670,292.87/15,413.80
  6. Step 6: Final answer
    x = 20,220.21

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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.