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Finding the Fourth Proportional to 15,413.50, 21,270.65 and 8,339.93

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Solution

The fourth proportional to 15,413.50, 21,270.65 and 8,339.93 is: 11,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.50 : 21,270.65 = 8,339.93 : x
  2. Step 2: Convert to fraction form
    15,413.50/21,270.65 = 8,339.93/x
  3. Step 3: Cross multiply
    15,413.50x = 21,270.65 × 8,339.93
  4. Step 4: Simplify right side
    15,413.50x = 177,395,732.05
  5. Step 5: Solve for x
    x = 177,395,732.05/15,413.50
  6. Step 6: Final answer
    x = 11,509.11

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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.