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Finding the Fourth Proportional to 24,593.94, 33,938.37 and 13,413.78

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Solution

The fourth proportional to 24,593.94, 33,938.37 and 13,413.78 is: 18,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593.94 : 33,938.37 = 13,413.78 : x
  2. Step 2: Convert to fraction form
    24,593.94/33,938.37 = 13,413.78/x
  3. Step 3: Cross multiply
    24,593.94x = 33,938.37 × 13,413.78
  4. Step 4: Simplify right side
    24,593.94x = 455,241,828.74
  5. Step 5: Solve for x
    x = 455,241,828.74/24,593.94
  6. Step 6: Final answer
    x = 18,510.33

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1.5x scale

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.