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Finding the Fourth Proportional to 16,413.84, 24,624.64 and 5,320.51

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Solution

The fourth proportional to 16,413.84, 24,624.64 and 5,320.51 is: 7,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.84 : 24,624.64 = 5,320.51 : x
  2. Step 2: Convert to fraction form
    16,413.84/24,624.64 = 5,320.51/x
  3. Step 3: Cross multiply
    16,413.84x = 24,624.64 × 5,320.51
  4. Step 4: Simplify right side
    16,413.84x = 131,015,643.37
  5. Step 5: Solve for x
    x = 131,015,643.37/16,413.84
  6. Step 6: Final answer
    x = 7,982.02

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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.