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Finding the Fourth Proportional to 15,381.94, 21,227.50 and 9,413.50

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Solution

The fourth proportional to 15,381.94, 21,227.50 and 9,413.50 is: 12,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381.94 : 21,227.50 = 9,413.50 : x
  2. Step 2: Convert to fraction form
    15,381.94/21,227.50 = 9,413.50/x
  3. Step 3: Cross multiply
    15,381.94x = 21,227.50 × 9,413.50
  4. Step 4: Simplify right side
    15,381.94x = 199,825,071.25
  5. Step 5: Solve for x
    x = 199,825,071.25/15,381.94
  6. Step 6: Final answer
    x = 12,990.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.