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Finding the Fourth Proportional to 16,449.58, 22,688.04 and 11,413.84

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Solution

The fourth proportional to 16,449.58, 22,688.04 and 11,413.84 is: 15,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.58 : 22,688.04 = 11,413.84 : x
  2. Step 2: Convert to fraction form
    16,449.58/22,688.04 = 11,413.84/x
  3. Step 3: Cross multiply
    16,449.58x = 22,688.04 × 11,413.84
  4. Step 4: Simplify right side
    16,449.58x = 258,957,658.47
  5. Step 5: Solve for x
    x = 258,957,658.47/16,449.58
  6. Step 6: Final answer
    x = 15,742.51

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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.