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Finding the Fourth Proportional to 17,077.80, 23,559 and 11,413.92

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Solution

The fourth proportional to 17,077.80, 23,559 and 11,413.92 is: 15,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.80 : 23,559 = 11,413.92 : x
  2. Step 2: Convert to fraction form
    17,077.80/23,559 = 11,413.92/x
  3. Step 3: Cross multiply
    17,077.80x = 23,559 × 11,413.92
  4. Step 4: Simplify right side
    17,077.80x = 268,900,541.28
  5. Step 5: Solve for x
    x = 268,900,541.28/17,077.80
  6. Step 6: Final answer
    x = 15,745.62

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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.