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Finding the Fourth Proportional to 18,413.68, 27,579.84 and 10,498

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Solution

The fourth proportional to 18,413.68, 27,579.84 and 10,498 is: 15,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413.68 : 27,579.84 = 10,498 : x
  2. Step 2: Convert to fraction form
    18,413.68/27,579.84 = 10,498/x
  3. Step 3: Cross multiply
    18,413.68x = 27,579.84 × 10,498
  4. Step 4: Simplify right side
    18,413.68x = 289,533,160.32
  5. Step 5: Solve for x
    x = 289,533,160.32/18,413.68
  6. Step 6: Final answer
    x = 15,723.81

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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.