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Finding the Fourth Proportional to 24,025.68, 33,153.84 and 13,413.24

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Solution

The fourth proportional to 24,025.68, 33,153.84 and 13,413.24 is: 18,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,025.68 : 33,153.84 = 13,413.24 : x
  2. Step 2: Convert to fraction form
    24,025.68/33,153.84 = 13,413.24/x
  3. Step 3: Cross multiply
    24,025.68x = 33,153.84 × 13,413.24
  4. Step 4: Simplify right side
    24,025.68x = 444,700,412.84
  5. Step 5: Solve for x
    x = 444,700,412.84/24,025.68
  6. Step 6: Final answer
    x = 18,509.38

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Why These Related Problems?

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