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Finding the Fourth Proportional to 17,880.31, 24,659.94 and 13,413.97

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Solution

The fourth proportional to 17,880.31, 24,659.94 and 13,413.97 is: 18,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.31 : 24,659.94 = 13,413.97 : x
  2. Step 2: Convert to fraction form
    17,880.31/24,659.94 = 13,413.97/x
  3. Step 3: Cross multiply
    17,880.31x = 24,659.94 × 13,413.97
  4. Step 4: Simplify right side
    17,880.31x = 330,787,695.36
  5. Step 5: Solve for x
    x = 330,787,695.36/17,880.31
  6. Step 6: Final answer
    x = 18,500.11

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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.