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Finding the Fourth Proportional to 17,413.92, 24,033.84 and 10,342.08

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Solution

The fourth proportional to 17,413.92, 24,033.84 and 10,342.08 is: 14,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.92 : 24,033.84 = 10,342.08 : x
  2. Step 2: Convert to fraction form
    17,413.92/24,033.84 = 10,342.08/x
  3. Step 3: Cross multiply
    17,413.92x = 24,033.84 × 10,342.08
  4. Step 4: Simplify right side
    17,413.92x = 248,559,895.99
  5. Step 5: Solve for x
    x = 248,559,895.99/17,413.92
  6. Step 6: Final answer
    x = 14,273.63

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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.